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Finding the Fourth Proportional to 106,614, 147,140.28 and 61,902

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Solution

The fourth proportional to 106,614, 147,140.28 and 61,902 is: 85,432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,614 : 147,140.28 = 61,902 : x
  2. Step 2: Convert to fraction form
    106,614/147,140.28 = 61,902/x
  3. Step 3: Cross multiply
    106,614x = 147,140.28 × 61,902
  4. Step 4: Simplify right side
    106,614x = 9,108,277,612.56
  5. Step 5: Solve for x
    x = 9,108,277,612.56/106,614
  6. Step 6: Final answer
    x = 85,432.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.