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Finding the Fourth Proportional to 72,382.60, 108,505.86 and 37,312.84

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Solution

The fourth proportional to 72,382.60, 108,505.86 and 37,312.84 is: 55,934.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,382.60 : 108,505.86 = 37,312.84 : x
  2. Step 2: Convert to fraction form
    72,382.60/108,505.86 = 37,312.84/x
  3. Step 3: Cross multiply
    72,382.60x = 108,505.86 × 37,312.84
  4. Step 4: Simplify right side
    72,382.60x = 4,048,661,793.24
  5. Step 5: Solve for x
    x = 4,048,661,793.24/72,382.60
  6. Step 6: Final answer
    x = 55,934.19

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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.