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Finding the Fourth Proportional to 213,046.40, 319,569.60 and 65,283.20

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Solution

The fourth proportional to 213,046.40, 319,569.60 and 65,283.20 is: 97,924.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,046.40 : 319,569.60 = 65,283.20 : x
  2. Step 2: Convert to fraction form
    213,046.40/319,569.60 = 65,283.20/x
  3. Step 3: Cross multiply
    213,046.40x = 319,569.60 × 65,283.20
  4. Step 4: Simplify right side
    213,046.40x = 20,862,526,110.72
  5. Step 5: Solve for x
    x = 20,862,526,110.72/213,046.40
  6. Step 6: Final answer
    x = 97,924.80

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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.