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Finding the Fourth Proportional to 125,253.28, 172,867.32 and 77,522

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Solution

The fourth proportional to 125,253.28, 172,867.32 and 77,522 is: 106,991.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,253.28 : 172,867.32 = 77,522 : x
  2. Step 2: Convert to fraction form
    125,253.28/172,867.32 = 77,522/x
  3. Step 3: Cross multiply
    125,253.28x = 172,867.32 × 77,522
  4. Step 4: Simplify right side
    125,253.28x = 13,401,020,381.04
  5. Step 5: Solve for x
    x = 13,401,020,381.04/125,253.28
  6. Step 6: Final answer
    x = 106,991.37

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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.