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Finding the Fourth Proportional to 81,702.68, 112,749.75 and 45,892.71

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Solution

The fourth proportional to 81,702.68, 112,749.75 and 45,892.71 is: 63,331.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,702.68 : 112,749.75 = 45,892.71 : x
  2. Step 2: Convert to fraction form
    81,702.68/112,749.75 = 45,892.71/x
  3. Step 3: Cross multiply
    81,702.68x = 112,749.75 × 45,892.71
  4. Step 4: Simplify right side
    81,702.68x = 5,174,391,579.32
  5. Step 5: Solve for x
    x = 5,174,391,579.32/81,702.68
  6. Step 6: Final answer
    x = 63,331.97

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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.