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Finding the Fourth Proportional to 207,978.24, 312,000 and 89,683.20

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Solution

The fourth proportional to 207,978.24, 312,000 and 89,683.20 is: 134,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,978.24 : 312,000 = 89,683.20 : x
  2. Step 2: Convert to fraction form
    207,978.24/312,000 = 89,683.20/x
  3. Step 3: Cross multiply
    207,978.24x = 312,000 × 89,683.20
  4. Step 4: Simplify right side
    207,978.24x = 27,981,158,400
  5. Step 5: Solve for x
    x = 27,981,158,400/207,978.24
  6. Step 6: Final answer
    x = 134,538.87

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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.