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Finding the Fourth Proportional to 257,138.91, 385,633.89 and 77,217.08

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Solution

The fourth proportional to 257,138.91, 385,633.89 and 77,217.08 is: 115,803.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,138.91 : 385,633.89 = 77,217.08 : x
  2. Step 2: Convert to fraction form
    257,138.91/385,633.89 = 77,217.08/x
  3. Step 3: Cross multiply
    257,138.91x = 385,633.89 × 77,217.08
  4. Step 4: Simplify right side
    257,138.91x = 29,777,521,006.67
  5. Step 5: Solve for x
    x = 29,777,521,006.67/257,138.91
  6. Step 6: Final answer
    x = 115,803.25

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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.