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Finding the Fourth Proportional to 213,093,321.60, 319,789,281.60 and 136,602,364.80

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Solution

The fourth proportional to 213,093,321.60, 319,789,281.60 and 136,602,364.80 is: 204,999,254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,093,321.60 : 319,789,281.60 = 136,602,364.80 : x
  2. Step 2: Convert to fraction form
    213,093,321.60/319,789,281.60 = 136,602,364.80/x
  3. Step 3: Cross multiply
    213,093,321.60x = 319,789,281.60 × 136,602,364.80
  4. Step 4: Simplify right side
    213,093,321.60x = 43,683,972,104,253,136
  5. Step 5: Solve for x
    x = 43,683,972,104,253,136/213,093,321.60
  6. Step 6: Final answer
    x = 204,999,254.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.