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Finding the Fourth Proportional to 103,939.80, 155,909.70 and 51,451.80

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Solution

The fourth proportional to 103,939.80, 155,909.70 and 51,451.80 is: 77,177.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,939.80 : 155,909.70 = 51,451.80 : x
  2. Step 2: Convert to fraction form
    103,939.80/155,909.70 = 51,451.80/x
  3. Step 3: Cross multiply
    103,939.80x = 155,909.70 × 51,451.80
  4. Step 4: Simplify right side
    103,939.80x = 8,021,834,702.46
  5. Step 5: Solve for x
    x = 8,021,834,702.46/103,939.80
  6. Step 6: Final answer
    x = 77,177.70

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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.