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Finding the Fourth Proportional to 78,177.80, 107,890.76 and 47,562.83

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Solution

The fourth proportional to 78,177.80, 107,890.76 and 47,562.83 is: 65,639.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,177.80 : 107,890.76 = 47,562.83 : x
  2. Step 2: Convert to fraction form
    78,177.80/107,890.76 = 47,562.83/x
  3. Step 3: Cross multiply
    78,177.80x = 107,890.76 × 47,562.83
  4. Step 4: Simplify right side
    78,177.80x = 5,131,589,908.36
  5. Step 5: Solve for x
    x = 5,131,589,908.36/78,177.80
  6. Step 6: Final answer
    x = 65,639.99

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1.5x scale

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.