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Finding the Fourth Proportional to 257,139.91, 385,635.39 and 77,218.08

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Solution

The fourth proportional to 257,139.91, 385,635.39 and 77,218.08 is: 115,804.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,139.91 : 385,635.39 = 77,218.08 : x
  2. Step 2: Convert to fraction form
    257,139.91/385,635.39 = 77,218.08/x
  3. Step 3: Cross multiply
    257,139.91x = 385,635.39 × 77,218.08
  4. Step 4: Simplify right side
    257,139.91x = 29,778,024,395.85
  5. Step 5: Solve for x
    x = 29,778,024,395.85/257,139.91
  6. Step 6: Final answer
    x = 115,804.76

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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.