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Finding the Fourth Proportional to 125,248.28, 172,860.42 and 77,517

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Solution

The fourth proportional to 125,248.28, 172,860.42 and 77,517 is: 106,984.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,248.28 : 172,860.42 = 77,517 : x
  2. Step 2: Convert to fraction form
    125,248.28/172,860.42 = 77,517/x
  3. Step 3: Cross multiply
    125,248.28x = 172,860.42 × 77,517
  4. Step 4: Simplify right side
    125,248.28x = 13,399,621,177.14
  5. Step 5: Solve for x
    x = 13,399,621,177.14/125,248.28
  6. Step 6: Final answer
    x = 106,984.47

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1.5x scale

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.