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Finding the Fourth Proportional to 43,777.52, 65,686.80 and 21,578.80

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Solution

The fourth proportional to 43,777.52, 65,686.80 and 21,578.80 is: 32,378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,777.52 : 65,686.80 = 21,578.80 : x
  2. Step 2: Convert to fraction form
    43,777.52/65,686.80 = 21,578.80/x
  3. Step 3: Cross multiply
    43,777.52x = 65,686.80 × 21,578.80
  4. Step 4: Simplify right side
    43,777.52x = 1,417,442,319.84
  5. Step 5: Solve for x
    x = 1,417,442,319.84/43,777.52
  6. Step 6: Final answer
    x = 32,378.31

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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.