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Finding the Fourth Proportional to 130,684, 180,343.92 and 71,068

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Solution

The fourth proportional to 130,684, 180,343.92 and 71,068 is: 98,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,684 : 180,343.92 = 71,068 : x
  2. Step 2: Convert to fraction form
    130,684/180,343.92 = 71,068/x
  3. Step 3: Cross multiply
    130,684x = 180,343.92 × 71,068
  4. Step 4: Simplify right side
    130,684x = 12,816,681,706.56
  5. Step 5: Solve for x
    x = 12,816,681,706.56/130,684
  6. Step 6: Final answer
    x = 98,073.84

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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.