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Finding the Fourth Proportional to 77,040.32, 115,564.80 and 21,632

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Solution

The fourth proportional to 77,040.32, 115,564.80 and 21,632 is: 32,449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,040.32 : 115,564.80 = 21,632 : x
  2. Step 2: Convert to fraction form
    77,040.32/115,564.80 = 21,632/x
  3. Step 3: Cross multiply
    77,040.32x = 115,564.80 × 21,632
  4. Step 4: Simplify right side
    77,040.32x = 2,499,897,753.60
  5. Step 5: Solve for x
    x = 2,499,897,753.60/77,040.32
  6. Step 6: Final answer
    x = 32,449.21

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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.