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Finding the Fourth Proportional to 72,527.80, 108,809.10 and 30,384.52

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Solution

The fourth proportional to 72,527.80, 108,809.10 and 30,384.52 is: 45,584.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,527.80 : 108,809.10 = 30,384.52 : x
  2. Step 2: Convert to fraction form
    72,527.80/108,809.10 = 30,384.52/x
  3. Step 3: Cross multiply
    72,527.80x = 108,809.10 × 30,384.52
  4. Step 4: Simplify right side
    72,527.80x = 3,306,112,275.13
  5. Step 5: Solve for x
    x = 3,306,112,275.13/72,527.80
  6. Step 6: Final answer
    x = 45,584.07

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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.