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Finding the Fourth Proportional to 251,474.61, 377,174.98 and 83,000.45

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Solution

The fourth proportional to 251,474.61, 377,174.98 and 83,000.45 is: 124,488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,474.61 : 377,174.98 = 83,000.45 : x
  2. Step 2: Convert to fraction form
    251,474.61/377,174.98 = 83,000.45/x
  3. Step 3: Cross multiply
    251,474.61x = 377,174.98 × 83,000.45
  4. Step 4: Simplify right side
    251,474.61x = 31,305,691,182.87
  5. Step 5: Solve for x
    x = 31,305,691,182.87/251,474.61
  6. Step 6: Final answer
    x = 124,488.48

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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.