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Finding the Fourth Proportional to 125,220.44, 172,821.92 and 77,489.16

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Solution

The fourth proportional to 125,220.44, 172,821.92 and 77,489.16 is: 106,946.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,220.44 : 172,821.92 = 77,489.16 : x
  2. Step 2: Convert to fraction form
    125,220.44/172,821.92 = 77,489.16/x
  3. Step 3: Cross multiply
    125,220.44x = 172,821.92 × 77,489.16
  4. Step 4: Simplify right side
    125,220.44x = 13,391,825,022.94
  5. Step 5: Solve for x
    x = 13,391,825,022.94/125,220.44
  6. Step 6: Final answer
    x = 106,946.00

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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.