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Finding the Fourth Proportional to 142,761.60, 214,142.40 and 42,937.20

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Solution

The fourth proportional to 142,761.60, 214,142.40 and 42,937.20 is: 64,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,761.60 : 214,142.40 = 42,937.20 : x
  2. Step 2: Convert to fraction form
    142,761.60/214,142.40 = 42,937.20/x
  3. Step 3: Cross multiply
    142,761.60x = 214,142.40 × 42,937.20
  4. Step 4: Simplify right side
    142,761.60x = 9,194,675,057.28
  5. Step 5: Solve for x
    x = 9,194,675,057.28/142,761.60
  6. Step 6: Final answer
    x = 64,405.80

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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.