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Finding the Fourth Proportional to 130,629, 180,269.46 and 71,013

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Solution

The fourth proportional to 130,629, 180,269.46 and 71,013 is: 97,998.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,629 : 180,269.46 = 71,013 : x
  2. Step 2: Convert to fraction form
    130,629/180,269.46 = 71,013/x
  3. Step 3: Cross multiply
    130,629x = 180,269.46 × 71,013
  4. Step 4: Simplify right side
    130,629x = 12,801,475,162.98
  5. Step 5: Solve for x
    x = 12,801,475,162.98/130,629
  6. Step 6: Final answer
    x = 97,998.72

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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.