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Finding the Fourth Proportional to 257,224.28, 385,854.84 and 88,742.12

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Solution

The fourth proportional to 257,224.28, 385,854.84 and 88,742.12 is: 133,119.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,224.28 : 385,854.84 = 88,742.12 : x
  2. Step 2: Convert to fraction form
    257,224.28/385,854.84 = 88,742.12/x
  3. Step 3: Cross multiply
    257,224.28x = 385,854.84 × 88,742.12
  4. Step 4: Simplify right side
    257,224.28x = 34,241,574,584.59
  5. Step 5: Solve for x
    x = 34,241,574,584.59/257,224.28
  6. Step 6: Final answer
    x = 133,119.53

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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.