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Finding the Fourth Proportional to 125,224.94, 172,828.13 and 77,493.66

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Solution

The fourth proportional to 125,224.94, 172,828.13 and 77,493.66 is: 106,952.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,224.94 : 172,828.13 = 77,493.66 : x
  2. Step 2: Convert to fraction form
    125,224.94/172,828.13 = 77,493.66/x
  3. Step 3: Cross multiply
    125,224.94x = 172,828.13 × 77,493.66
  4. Step 4: Simplify right side
    125,224.94x = 13,393,083,957.19
  5. Step 5: Solve for x
    x = 13,393,083,957.19/125,224.94
  6. Step 6: Final answer
    x = 106,952.21

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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.