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Finding the Fourth Proportional to 150,347, 207,478.86 and 90,731

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Solution

The fourth proportional to 150,347, 207,478.86 and 90,731 is: 125,208.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,347 : 207,478.86 = 90,731 : x
  2. Step 2: Convert to fraction form
    150,347/207,478.86 = 90,731/x
  3. Step 3: Cross multiply
    150,347x = 207,478.86 × 90,731
  4. Step 4: Simplify right side
    150,347x = 18,824,764,446.66
  5. Step 5: Solve for x
    x = 18,824,764,446.66/150,347
  6. Step 6: Final answer
    x = 125,208.78

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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.