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Finding the Fourth Proportional to 102,781.54, 154,102.14 and 54,757.32

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Solution

The fourth proportional to 102,781.54, 154,102.14 and 54,757.32 is: 82,098.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,781.54 : 154,102.14 = 54,757.32 : x
  2. Step 2: Convert to fraction form
    102,781.54/154,102.14 = 54,757.32/x
  3. Step 3: Cross multiply
    102,781.54x = 154,102.14 × 54,757.32
  4. Step 4: Simplify right side
    102,781.54x = 8,438,220,192.66
  5. Step 5: Solve for x
    x = 8,438,220,192.66/102,781.54
  6. Step 6: Final answer
    x = 82,098.60

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1.5x scale

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.