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Finding the Fourth Proportional to 257,147.84, 385,747.12 and 88,646

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Solution

The fourth proportional to 257,147.84, 385,747.12 and 88,646 is: 132,977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,147.84 : 385,747.12 = 88,646 : x
  2. Step 2: Convert to fraction form
    257,147.84/385,747.12 = 88,646/x
  3. Step 3: Cross multiply
    257,147.84x = 385,747.12 × 88,646
  4. Step 4: Simplify right side
    257,147.84x = 34,194,939,199.52
  5. Step 5: Solve for x
    x = 34,194,939,199.52/257,147.84
  6. Step 6: Final answer
    x = 132,977.74

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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.