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Finding the Fourth Proportional to 312,743.52, 469,103.52 and 91,121.76

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Solution

The fourth proportional to 312,743.52, 469,103.52 and 91,121.76 is: 136,679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,743.52 : 469,103.52 = 91,121.76 : x
  2. Step 2: Convert to fraction form
    312,743.52/469,103.52 = 91,121.76/x
  3. Step 3: Cross multiply
    312,743.52x = 469,103.52 × 91,121.76
  4. Step 4: Simplify right side
    312,743.52x = 42,745,538,364.60
  5. Step 5: Solve for x
    x = 42,745,538,364.60/312,743.52
  6. Step 6: Final answer
    x = 136,679.21

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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.