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Finding the Fourth Proportional to 147,382.72, 221,052.54 and 72,482.77

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Solution

The fourth proportional to 147,382.72, 221,052.54 and 72,482.77 is: 108,713.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,382.72 : 221,052.54 = 72,482.77 : x
  2. Step 2: Convert to fraction form
    147,382.72/221,052.54 = 72,482.77/x
  3. Step 3: Cross multiply
    147,382.72x = 221,052.54 × 72,482.77
  4. Step 4: Simplify right side
    147,382.72x = 16,022,500,414.74
  5. Step 5: Solve for x
    x = 16,022,500,414.74/147,382.72
  6. Step 6: Final answer
    x = 108,713.56

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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.