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Finding the Fourth Proportional to 132,144, 182,446.56 and 78,446.28

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Solution

The fourth proportional to 132,144, 182,446.56 and 78,446.28 is: 108,308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,144 : 182,446.56 = 78,446.28 : x
  2. Step 2: Convert to fraction form
    132,144/182,446.56 = 78,446.28/x
  3. Step 3: Cross multiply
    132,144x = 182,446.56 × 78,446.28
  4. Step 4: Simplify right side
    132,144x = 14,312,253,930.80
  5. Step 5: Solve for x
    x = 14,312,253,930.80/132,144
  6. Step 6: Final answer
    x = 108,308.01

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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.