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Finding the Fourth Proportional to 150,520.68, 207,720.90 and 82,543.86

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Solution

The fourth proportional to 150,520.68, 207,720.90 and 82,543.86 is: 113,911.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,520.68 : 207,720.90 = 82,543.86 : x
  2. Step 2: Convert to fraction form
    150,520.68/207,720.90 = 82,543.86/x
  3. Step 3: Cross multiply
    150,520.68x = 207,720.90 × 82,543.86
  4. Step 4: Simplify right side
    150,520.68x = 17,146,084,888.67
  5. Step 5: Solve for x
    x = 17,146,084,888.67/150,520.68
  6. Step 6: Final answer
    x = 113,911.82

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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.