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Finding the Fourth Proportional to 81,412.87, 112,349.10 and 45,603.22

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Solution

The fourth proportional to 81,412.87, 112,349.10 and 45,603.22 is: 62,932.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,412.87 : 112,349.10 = 45,603.22 : x
  2. Step 2: Convert to fraction form
    81,412.87/112,349.10 = 45,603.22/x
  3. Step 3: Cross multiply
    81,412.87x = 112,349.10 × 45,603.22
  4. Step 4: Simplify right side
    81,412.87x = 5,123,480,724.10
  5. Step 5: Solve for x
    x = 5,123,480,724.10/81,412.87
  6. Step 6: Final answer
    x = 62,932.07

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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.