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Finding the Fourth Proportional to 81,422.40, 122,117.40 and 39,302.40

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Solution

The fourth proportional to 81,422.40, 122,117.40 and 39,302.40 is: 58,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,422.40 : 122,117.40 = 39,302.40 : x
  2. Step 2: Convert to fraction form
    81,422.40/122,117.40 = 39,302.40/x
  3. Step 3: Cross multiply
    81,422.40x = 122,117.40 × 39,302.40
  4. Step 4: Simplify right side
    81,422.40x = 4,799,506,901.76
  5. Step 5: Solve for x
    x = 4,799,506,901.76/81,422.40
  6. Step 6: Final answer
    x = 58,945.78

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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.