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Finding the Fourth Proportional to 251,406.74, 377,029.10 and 82,887.86

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Solution

The fourth proportional to 251,406.74, 377,029.10 and 82,887.86 is: 124,305.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,406.74 : 377,029.10 = 82,887.86 : x
  2. Step 2: Convert to fraction form
    251,406.74/377,029.10 = 82,887.86/x
  3. Step 3: Cross multiply
    251,406.74x = 377,029.10 × 82,887.86
  4. Step 4: Simplify right side
    251,406.74x = 31,251,132,957.14
  5. Step 5: Solve for x
    x = 31,251,132,957.14/251,406.74
  6. Step 6: Final answer
    x = 124,305.07

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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.