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Finding the Fourth Proportional to 142,744.28, 214,108.10 and 42,902.28

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Solution

The fourth proportional to 142,744.28, 214,108.10 and 42,902.28 is: 64,350.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,744.28 : 214,108.10 = 42,902.28 : x
  2. Step 2: Convert to fraction form
    142,744.28/214,108.10 = 42,902.28/x
  3. Step 3: Cross multiply
    142,744.28x = 214,108.10 × 42,902.28
  4. Step 4: Simplify right side
    142,744.28x = 9,185,725,656.47
  5. Step 5: Solve for x
    x = 9,185,725,656.47/142,744.28
  6. Step 6: Final answer
    x = 64,350.92

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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.