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Finding the Fourth Proportional to 130,396, 179,957.88 and 73,034.38

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Solution

The fourth proportional to 130,396, 179,957.88 and 73,034.38 is: 100,793.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,396 : 179,957.88 = 73,034.38 : x
  2. Step 2: Convert to fraction form
    130,396/179,957.88 = 73,034.38/x
  3. Step 3: Cross multiply
    130,396x = 179,957.88 × 73,034.38
  4. Step 4: Simplify right side
    130,396x = 13,143,112,191.91
  5. Step 5: Solve for x
    x = 13,143,112,191.91/130,396
  6. Step 6: Final answer
    x = 100,793.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.