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Finding the Fourth Proportional to 130,813, 180,521.96 and 71,197

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Solution

The fourth proportional to 130,813, 180,521.96 and 71,197 is: 98,251.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,813 : 180,521.96 = 71,197 : x
  2. Step 2: Convert to fraction form
    130,813/180,521.96 = 71,197/x
  3. Step 3: Cross multiply
    130,813x = 180,521.96 × 71,197
  4. Step 4: Simplify right side
    130,813x = 12,852,621,986.12
  5. Step 5: Solve for x
    x = 12,852,621,986.12/130,813
  6. Step 6: Final answer
    x = 98,251.87

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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.