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Finding the Fourth Proportional to 230,802, 318,517.76 and 130,200

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Solution

The fourth proportional to 230,802, 318,517.76 and 130,200 is: 179,682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,802 : 318,517.76 = 130,200 : x
  2. Step 2: Convert to fraction form
    230,802/318,517.76 = 130,200/x
  3. Step 3: Cross multiply
    230,802x = 318,517.76 × 130,200
  4. Step 4: Simplify right side
    230,802x = 41,471,012,677.50
  5. Step 5: Solve for x
    x = 41,471,012,677.50/230,802
  6. Step 6: Final answer
    x = 179,682.21

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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.