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Finding the Fourth Proportional to 156,909.90, 235,105.65 and 133,581.90

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Solution

The fourth proportional to 156,909.90, 235,105.65 and 133,581.90 is: 200,152.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,909.90 : 235,105.65 = 133,581.90 : x
  2. Step 2: Convert to fraction form
    156,909.90/235,105.65 = 133,581.90/x
  3. Step 3: Cross multiply
    156,909.90x = 235,105.65 × 133,581.90
  4. Step 4: Simplify right side
    156,909.90x = 31,405,859,427.74
  5. Step 5: Solve for x
    x = 31,405,859,427.74/156,909.90
  6. Step 6: Final answer
    x = 200,152.19

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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.