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Finding the Fourth Proportional to 77,463.91, 106,997.63 and 63,901.10

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Solution

The fourth proportional to 77,463.91, 106,997.63 and 63,901.10 is: 88,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,463.91 : 106,997.63 = 63,901.10 : x
  2. Step 2: Convert to fraction form
    77,463.91/106,997.63 = 63,901.10/x
  3. Step 3: Cross multiply
    77,463.91x = 106,997.63 × 63,901.10
  4. Step 4: Simplify right side
    77,463.91x = 6,837,266,414.15
  5. Step 5: Solve for x
    x = 6,837,266,414.15/77,463.91
  6. Step 6: Final answer
    x = 88,263.90

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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.