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Finding the Fourth Proportional to 251,605.68, 377,445.76 and 83,143.78

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Solution

The fourth proportional to 251,605.68, 377,445.76 and 83,143.78 is: 124,727.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,605.68 : 377,445.76 = 83,143.78 : x
  2. Step 2: Convert to fraction form
    251,605.68/377,445.76 = 83,143.78/x
  3. Step 3: Cross multiply
    251,605.68x = 377,445.76 × 83,143.78
  4. Step 4: Simplify right side
    251,605.68x = 31,382,267,231.37
  5. Step 5: Solve for x
    x = 31,382,267,231.37/251,605.68
  6. Step 6: Final answer
    x = 124,727.98

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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.