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Finding the Fourth Proportional to 103,856.60, 155,456.85 and 81,549.20

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Solution

The fourth proportional to 103,856.60, 155,456.85 and 81,549.20 is: 122,066.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,856.60 : 155,456.85 = 81,549.20 : x
  2. Step 2: Convert to fraction form
    103,856.60/155,456.85 = 81,549.20/x
  3. Step 3: Cross multiply
    103,856.60x = 155,456.85 × 81,549.20
  4. Step 4: Simplify right side
    103,856.60x = 12,677,381,752.02
  5. Step 5: Solve for x
    x = 12,677,381,752.02/103,856.60
  6. Step 6: Final answer
    x = 122,066.21

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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.