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Finding the Fourth Proportional to 135,729.68, 187,323.12 and 78,382.98

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Solution

The fourth proportional to 135,729.68, 187,323.12 and 78,382.98 is: 108,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,729.68 : 187,323.12 = 78,382.98 : x
  2. Step 2: Convert to fraction form
    135,729.68/187,323.12 = 78,382.98/x
  3. Step 3: Cross multiply
    135,729.68x = 187,323.12 × 78,382.98
  4. Step 4: Simplify right side
    135,729.68x = 14,682,944,368.50
  5. Step 5: Solve for x
    x = 14,682,944,368.50/135,729.68
  6. Step 6: Final answer
    x = 108,177.85

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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.