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Finding the Fourth Proportional to 77,264, 106,640.80 and 45,451.05

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Solution

The fourth proportional to 77,264, 106,640.80 and 45,451.05 is: 62,732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,264 : 106,640.80 = 45,451.05 : x
  2. Step 2: Convert to fraction form
    77,264/106,640.80 = 45,451.05/x
  3. Step 3: Cross multiply
    77,264x = 106,640.80 × 45,451.05
  4. Step 4: Simplify right side
    77,264x = 4,846,935,572.38
  5. Step 5: Solve for x
    x = 4,846,935,572.38/77,264
  6. Step 6: Final answer
    x = 62,732.13

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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.