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Finding the Fourth Proportional to 91,838.96, 137,708.22 and 28,642.20

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Solution

The fourth proportional to 91,838.96, 137,708.22 and 28,642.20 is: 42,947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,838.96 : 137,708.22 = 28,642.20 : x
  2. Step 2: Convert to fraction form
    91,838.96/137,708.22 = 28,642.20/x
  3. Step 3: Cross multiply
    91,838.96x = 137,708.22 × 28,642.20
  4. Step 4: Simplify right side
    91,838.96x = 3,944,266,378.88
  5. Step 5: Solve for x
    x = 3,944,266,378.88/91,838.96
  6. Step 6: Final answer
    x = 42,947.64

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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.