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Finding the Fourth Proportional to 90,434.29, 124,655.49 and 71,283

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Solution

The fourth proportional to 90,434.29, 124,655.49 and 71,283 is: 98,257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,434.29 : 124,655.49 = 71,283 : x
  2. Step 2: Convert to fraction form
    90,434.29/124,655.49 = 71,283/x
  3. Step 3: Cross multiply
    90,434.29x = 124,655.49 × 71,283
  4. Step 4: Simplify right side
    90,434.29x = 8,885,816,937.26
  5. Step 5: Solve for x
    x = 8,885,816,937.26/90,434.29
  6. Step 6: Final answer
    x = 98,257.17

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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.