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Finding the Fourth Proportional to 129,813, 179,141.95 and 70,197

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Solution

The fourth proportional to 129,813, 179,141.95 and 70,197 is: 96,871.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,813 : 179,141.95 = 70,197 : x
  2. Step 2: Convert to fraction form
    129,813/179,141.95 = 70,197/x
  3. Step 3: Cross multiply
    129,813x = 179,141.95 × 70,197
  4. Step 4: Simplify right side
    129,813x = 12,575,227,464.15
  5. Step 5: Solve for x
    x = 12,575,227,464.15/129,813
  6. Step 6: Final answer
    x = 96,871.87

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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.