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Finding the Fourth Proportional to 102,505.69, 153,757.62 and 32,385

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Solution

The fourth proportional to 102,505.69, 153,757.62 and 32,385 is: 48,577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,505.69 : 153,757.62 = 32,385 : x
  2. Step 2: Convert to fraction form
    102,505.69/153,757.62 = 32,385/x
  3. Step 3: Cross multiply
    102,505.69x = 153,757.62 × 32,385
  4. Step 4: Simplify right side
    102,505.69x = 4,979,440,523.70
  5. Step 5: Solve for x
    x = 4,979,440,523.70/102,505.69
  6. Step 6: Final answer
    x = 48,577.21

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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.