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Finding the Fourth Proportional to 207,592.92, 311,486.28 and 81,200.42

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Solution

The fourth proportional to 207,592.92, 311,486.28 and 81,200.42 is: 121,838.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,592.92 : 311,486.28 = 81,200.42 : x
  2. Step 2: Convert to fraction form
    207,592.92/311,486.28 = 81,200.42/x
  3. Step 3: Cross multiply
    207,592.92x = 311,486.28 × 81,200.42
  4. Step 4: Simplify right side
    207,592.92x = 25,292,817,538.95
  5. Step 5: Solve for x
    x = 25,292,817,538.95/207,592.92
  6. Step 6: Final answer
    x = 121,838.53

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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.