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Finding the Fourth Proportional to 132,403.16, 182,742.89 and 78,677.78

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Solution

The fourth proportional to 132,403.16, 182,742.89 and 78,677.78 is: 108,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,403.16 : 182,742.89 = 78,677.78 : x
  2. Step 2: Convert to fraction form
    132,403.16/182,742.89 = 78,677.78/x
  3. Step 3: Cross multiply
    132,403.16x = 182,742.89 × 78,677.78
  4. Step 4: Simplify right side
    132,403.16x = 14,377,804,616.81
  5. Step 5: Solve for x
    x = 14,377,804,616.81/132,403.16
  6. Step 6: Final answer
    x = 108,591.10

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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.