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Finding the Fourth Proportional to 259,693.76, 389,591.14 and 99,758

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Solution

The fourth proportional to 259,693.76, 389,591.14 and 99,758 is: 149,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,693.76 : 389,591.14 = 99,758 : x
  2. Step 2: Convert to fraction form
    259,693.76/389,591.14 = 99,758/x
  3. Step 3: Cross multiply
    259,693.76x = 389,591.14 × 99,758
  4. Step 4: Simplify right side
    259,693.76x = 38,864,832,944.12
  5. Step 5: Solve for x
    x = 38,864,832,944.12/259,693.76
  6. Step 6: Final answer
    x = 149,656.40

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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.