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Finding the Fourth Proportional to 121,405.40, 182,496.90 and 86,586.20

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Solution

The fourth proportional to 121,405.40, 182,496.90 and 86,586.20 is: 130,156.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,405.40 : 182,496.90 = 86,586.20 : x
  2. Step 2: Convert to fraction form
    121,405.40/182,496.90 = 86,586.20/x
  3. Step 3: Cross multiply
    121,405.40x = 182,496.90 × 86,586.20
  4. Step 4: Simplify right side
    121,405.40x = 15,801,713,082.78
  5. Step 5: Solve for x
    x = 15,801,713,082.78/121,405.40
  6. Step 6: Final answer
    x = 130,156.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.