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Finding the Fourth Proportional to 149,405.60, 206,173.71 and 81,421.12

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Solution

The fourth proportional to 149,405.60, 206,173.71 and 81,421.12 is: 112,357.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,405.60 : 206,173.71 = 81,421.12 : x
  2. Step 2: Convert to fraction form
    149,405.60/206,173.71 = 81,421.12/x
  3. Step 3: Cross multiply
    149,405.60x = 206,173.71 × 81,421.12
  4. Step 4: Simplify right side
    149,405.60x = 16,786,894,382.76
  5. Step 5: Solve for x
    x = 16,786,894,382.76/149,405.60
  6. Step 6: Final answer
    x = 112,357.87

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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.