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Finding the Fourth Proportional to 100,088.74, 138,120.33 and 54,766.54

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Solution

The fourth proportional to 100,088.74, 138,120.33 and 54,766.54 is: 75,576.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,088.74 : 138,120.33 = 54,766.54 : x
  2. Step 2: Convert to fraction form
    100,088.74/138,120.33 = 54,766.54/x
  3. Step 3: Cross multiply
    100,088.74x = 138,120.33 × 54,766.54
  4. Step 4: Simplify right side
    100,088.74x = 7,564,372,577.76
  5. Step 5: Solve for x
    x = 7,564,372,577.76/100,088.74
  6. Step 6: Final answer
    x = 75,576.66

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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.