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Finding the Fourth Proportional to 102,177.68, 153,253.56 and 75,920.72

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Solution

The fourth proportional to 102,177.68, 153,253.56 and 75,920.72 is: 113,871.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,177.68 : 153,253.56 = 75,920.72 : x
  2. Step 2: Convert to fraction form
    102,177.68/153,253.56 = 75,920.72/x
  3. Step 3: Cross multiply
    102,177.68x = 153,253.56 × 75,920.72
  4. Step 4: Simplify right side
    102,177.68x = 11,635,120,617.76
  5. Step 5: Solve for x
    x = 11,635,120,617.76/102,177.68
  6. Step 6: Final answer
    x = 113,871.45

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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.