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Finding the Fourth Proportional to 130,815, 180,524.72 and 71,199

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Solution

The fourth proportional to 130,815, 180,524.72 and 71,199 is: 98,254.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,815 : 180,524.72 = 71,199 : x
  2. Step 2: Convert to fraction form
    130,815/180,524.72 = 71,199/x
  3. Step 3: Cross multiply
    130,815x = 180,524.72 × 71,199
  4. Step 4: Simplify right side
    130,815x = 12,853,179,539.28
  5. Step 5: Solve for x
    x = 12,853,179,539.28/130,815
  6. Step 6: Final answer
    x = 98,254.63

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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.