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Finding the Fourth Proportional to 100,901.42, 151,350.70 and 34,387.86

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Solution

The fourth proportional to 100,901.42, 151,350.70 and 34,387.86 is: 51,581.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,901.42 : 151,350.70 = 34,387.86 : x
  2. Step 2: Convert to fraction form
    100,901.42/151,350.70 = 34,387.86/x
  3. Step 3: Cross multiply
    100,901.42x = 151,350.70 × 34,387.86
  4. Step 4: Simplify right side
    100,901.42x = 5,204,626,682.50
  5. Step 5: Solve for x
    x = 5,204,626,682.50/100,901.42
  6. Step 6: Final answer
    x = 51,581.30

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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.