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Finding the Fourth Proportional to 130,811, 180,519.18 and 71,195

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Solution

The fourth proportional to 130,811, 180,519.18 and 71,195 is: 98,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,811 : 180,519.18 = 71,195 : x
  2. Step 2: Convert to fraction form
    130,811/180,519.18 = 71,195/x
  3. Step 3: Cross multiply
    130,811x = 180,519.18 × 71,195
  4. Step 4: Simplify right side
    130,811x = 12,852,063,020.10
  5. Step 5: Solve for x
    x = 12,852,063,020.10/130,811
  6. Step 6: Final answer
    x = 98,249.10

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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.