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Finding the Fourth Proportional to 129,830.80, 194,600.40 and 54,938.20

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Solution

The fourth proportional to 129,830.80, 194,600.40 and 54,938.20 is: 82,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,830.80 : 194,600.40 = 54,938.20 : x
  2. Step 2: Convert to fraction form
    129,830.80/194,600.40 = 54,938.20/x
  3. Step 3: Cross multiply
    129,830.80x = 194,600.40 × 54,938.20
  4. Step 4: Simplify right side
    129,830.80x = 10,690,995,695.28
  5. Step 5: Solve for x
    x = 10,690,995,695.28/129,830.80
  6. Step 6: Final answer
    x = 82,345.60

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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.