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Finding the Fourth Proportional to 207,988.11, 287,023.68 and 112,494.78

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Solution

The fourth proportional to 207,988.11, 287,023.68 and 112,494.78 is: 155,242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,988.11 : 287,023.68 = 112,494.78 : x
  2. Step 2: Convert to fraction form
    207,988.11/287,023.68 = 112,494.78/x
  3. Step 3: Cross multiply
    207,988.11x = 287,023.68 × 112,494.78
  4. Step 4: Simplify right side
    207,988.11x = 32,288,665,736.39
  5. Step 5: Solve for x
    x = 32,288,665,736.39/207,988.11
  6. Step 6: Final answer
    x = 155,242.84

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1.5x scale

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.