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Finding the Fourth Proportional to 85,902.90, 128,635.65 and 81,966.30

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Solution

The fourth proportional to 85,902.90, 128,635.65 and 81,966.30 is: 122,740.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,902.90 : 128,635.65 = 81,966.30 : x
  2. Step 2: Convert to fraction form
    85,902.90/128,635.65 = 81,966.30/x
  3. Step 3: Cross multiply
    85,902.90x = 128,635.65 × 81,966.30
  4. Step 4: Simplify right side
    85,902.90x = 10,543,788,278.60
  5. Step 5: Solve for x
    x = 10,543,788,278.60/85,902.90
  6. Step 6: Final answer
    x = 122,740.77

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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.