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Finding the Fourth Proportional to 51,892, 77,635.62 and 39,448

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Solution

The fourth proportional to 51,892, 77,635.62 and 39,448 is: 59,018.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,892 : 77,635.62 = 39,448 : x
  2. Step 2: Convert to fraction form
    51,892/77,635.62 = 39,448/x
  3. Step 3: Cross multiply
    51,892x = 77,635.62 × 39,448
  4. Step 4: Simplify right side
    51,892x = 3,062,569,937.76
  5. Step 5: Solve for x
    x = 3,062,569,937.76/51,892
  6. Step 6: Final answer
    x = 59,018.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.