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Finding the Fourth Proportional to 76,756.80, 115,061.28 and 32,422.08

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Solution

The fourth proportional to 76,756.80, 115,061.28 and 32,422.08 is: 48,601.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,756.80 : 115,061.28 = 32,422.08 : x
  2. Step 2: Convert to fraction form
    76,756.80/115,061.28 = 32,422.08/x
  3. Step 3: Cross multiply
    76,756.80x = 115,061.28 × 32,422.08
  4. Step 4: Simplify right side
    76,756.80x = 3,730,526,025.06
  5. Step 5: Solve for x
    x = 3,730,526,025.06/76,756.80
  6. Step 6: Final answer
    x = 48,601.90

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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.