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Finding the Fourth Proportional to 55,782, 76,988.88 and 31,909.68

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Solution

The fourth proportional to 55,782, 76,988.88 and 31,909.68 is: 44,040.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,782 : 76,988.88 = 31,909.68 : x
  2. Step 2: Convert to fraction form
    55,782/76,988.88 = 31,909.68/x
  3. Step 3: Cross multiply
    55,782x = 76,988.88 × 31,909.68
  4. Step 4: Simplify right side
    55,782x = 2,456,690,524.36
  5. Step 5: Solve for x
    x = 2,456,690,524.36/55,782
  6. Step 6: Final answer
    x = 44,040.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.