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Finding the Fourth Proportional to 43,775.70, 65,724.30 and 28,077.90

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Solution

The fourth proportional to 43,775.70, 65,724.30 and 28,077.90 is: 42,155.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,775.70 : 65,724.30 = 28,077.90 : x
  2. Step 2: Convert to fraction form
    43,775.70/65,724.30 = 28,077.90/x
  3. Step 3: Cross multiply
    43,775.70x = 65,724.30 × 28,077.90
  4. Step 4: Simplify right side
    43,775.70x = 1,845,400,322.97
  5. Step 5: Solve for x
    x = 1,845,400,322.97/43,775.70
  6. Step 6: Final answer
    x = 42,155.82

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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.