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Finding the Fourth Proportional to 257,142.11, 385,738.53 and 88,640.24

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Solution

The fourth proportional to 257,142.11, 385,738.53 and 88,640.24 is: 132,969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,142.11 : 385,738.53 = 88,640.24 : x
  2. Step 2: Convert to fraction form
    257,142.11/385,738.53 = 88,640.24/x
  3. Step 3: Cross multiply
    257,142.11x = 385,738.53 × 88,640.24
  4. Step 4: Simplify right side
    257,142.11x = 34,191,953,947.75
  5. Step 5: Solve for x
    x = 34,191,953,947.75/257,142.11
  6. Step 6: Final answer
    x = 132,969.10

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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.