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Finding the Fourth Proportional to 81,455.72, 112,411.92 and 45,644.40

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Solution

The fourth proportional to 81,455.72, 112,411.92 and 45,644.40 is: 62,990.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,455.72 : 112,411.92 = 45,644.40 : x
  2. Step 2: Convert to fraction form
    81,455.72/112,411.92 = 45,644.40/x
  3. Step 3: Cross multiply
    81,455.72x = 112,411.92 × 45,644.40
  4. Step 4: Simplify right side
    81,455.72x = 5,130,974,641.25
  5. Step 5: Solve for x
    x = 5,130,974,641.25/81,455.72
  6. Step 6: Final answer
    x = 62,990.97

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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.