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Finding the Fourth Proportional to 100,088.78, 138,121.34 and 54,766.24

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Solution

The fourth proportional to 100,088.78, 138,121.34 and 54,766.24 is: 75,576.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,088.78 : 138,121.34 = 54,766.24 : x
  2. Step 2: Convert to fraction form
    100,088.78/138,121.34 = 54,766.24/x
  3. Step 3: Cross multiply
    100,088.78x = 138,121.34 × 54,766.24
  4. Step 4: Simplify right side
    100,088.78x = 7,564,385,836.43
  5. Step 5: Solve for x
    x = 7,564,385,836.43/100,088.78
  6. Step 6: Final answer
    x = 75,576.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.