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Finding the Fourth Proportional to 257,186.42, 385,798.16 and 88,704.38

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Solution

The fourth proportional to 257,186.42, 385,798.16 and 88,704.38 is: 133,062.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,186.42 : 385,798.16 = 88,704.38 : x
  2. Step 2: Convert to fraction form
    257,186.42/385,798.16 = 88,704.38/x
  3. Step 3: Cross multiply
    257,186.42x = 385,798.16 × 88,704.38
  4. Step 4: Simplify right side
    257,186.42x = 34,221,986,587.94
  5. Step 5: Solve for x
    x = 34,221,986,587.94/257,186.42
  6. Step 6: Final answer
    x = 133,062.96

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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.