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Finding the Fourth Proportional to 157,138.69, 216,847.23 and 85,517.18

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Solution

The fourth proportional to 157,138.69, 216,847.23 and 85,517.18 is: 118,011.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,138.69 : 216,847.23 = 85,517.18 : x
  2. Step 2: Convert to fraction form
    157,138.69/216,847.23 = 85,517.18/x
  3. Step 3: Cross multiply
    157,138.69x = 216,847.23 × 85,517.18
  4. Step 4: Simplify right side
    157,138.69x = 18,544,162,516.18
  5. Step 5: Solve for x
    x = 18,544,162,516.18/157,138.69
  6. Step 6: Final answer
    x = 118,011.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.