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Finding the Fourth Proportional to 43,632.80, 65,432.64 and 18,657.20

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Solution

The fourth proportional to 43,632.80, 65,432.64 and 18,657.20 is: 27,978.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,632.80 : 65,432.64 = 18,657.20 : x
  2. Step 2: Convert to fraction form
    43,632.80/65,432.64 = 18,657.20/x
  3. Step 3: Cross multiply
    43,632.80x = 65,432.64 × 18,657.20
  4. Step 4: Simplify right side
    43,632.80x = 1,220,789,851.01
  5. Step 5: Solve for x
    x = 1,220,789,851.01/43,632.80
  6. Step 6: Final answer
    x = 27,978.72

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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.