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Finding the Fourth Proportional to 213,237.60, 319,564.80 and 141,957.60

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Solution

The fourth proportional to 213,237.60, 319,564.80 and 141,957.60 is: 212,742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,237.60 : 319,564.80 = 141,957.60 : x
  2. Step 2: Convert to fraction form
    213,237.60/319,564.80 = 141,957.60/x
  3. Step 3: Cross multiply
    213,237.60x = 319,564.80 × 141,957.60
  4. Step 4: Simplify right side
    213,237.60x = 45,364,652,052.48
  5. Step 5: Solve for x
    x = 45,364,652,052.48/213,237.60
  6. Step 6: Final answer
    x = 212,742.27

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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.