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Finding the Fourth Proportional to 207,627.68, 286,227.60 and 147,908

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Solution

The fourth proportional to 207,627.68, 286,227.60 and 147,908 is: 203,900.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,627.68 : 286,227.60 = 147,908 : x
  2. Step 2: Convert to fraction form
    207,627.68/286,227.60 = 147,908/x
  3. Step 3: Cross multiply
    207,627.68x = 286,227.60 × 147,908
  4. Step 4: Simplify right side
    207,627.68x = 42,335,351,860.80
  5. Step 5: Solve for x
    x = 42,335,351,860.80/207,627.68
  6. Step 6: Final answer
    x = 203,900.33

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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.