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Finding the Fourth Proportional to 153,872.80, 230,560.80 and 87,114.40

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Solution

The fourth proportional to 153,872.80, 230,560.80 and 87,114.40 is: 130,530.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,872.80 : 230,560.80 = 87,114.40 : x
  2. Step 2: Convert to fraction form
    153,872.80/230,560.80 = 87,114.40/x
  3. Step 3: Cross multiply
    153,872.80x = 230,560.80 × 87,114.40
  4. Step 4: Simplify right side
    153,872.80x = 20,085,165,755.52
  5. Step 5: Solve for x
    x = 20,085,165,755.52/153,872.80
  6. Step 6: Final answer
    x = 130,530.97

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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.