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Finding the Fourth Proportional to 81,471.90, 122,141.88 and 31,526.40

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Solution

The fourth proportional to 81,471.90, 122,141.88 and 31,526.40 is: 47,264.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,471.90 : 122,141.88 = 31,526.40 : x
  2. Step 2: Convert to fraction form
    81,471.90/122,141.88 = 31,526.40/x
  3. Step 3: Cross multiply
    81,471.90x = 122,141.88 × 31,526.40
  4. Step 4: Simplify right side
    81,471.90x = 3,850,693,765.63
  5. Step 5: Solve for x
    x = 3,850,693,765.63/81,471.90
  6. Step 6: Final answer
    x = 47,264.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.