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Finding the Fourth Proportional to 130,793, 180,494.34 and 71,177

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Solution

The fourth proportional to 130,793, 180,494.34 and 71,177 is: 98,224.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,793 : 180,494.34 = 71,177 : x
  2. Step 2: Convert to fraction form
    130,793/180,494.34 = 71,177/x
  3. Step 3: Cross multiply
    130,793x = 180,494.34 × 71,177
  4. Step 4: Simplify right side
    130,793x = 12,847,045,638.18
  5. Step 5: Solve for x
    x = 12,847,045,638.18/130,793
  6. Step 6: Final answer
    x = 98,224.26

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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.