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Finding the Fourth Proportional to 80,806.40, 121,231.20 and 57,478.40

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Solution

The fourth proportional to 80,806.40, 121,231.20 and 57,478.40 is: 86,232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,806.40 : 121,231.20 = 57,478.40 : x
  2. Step 2: Convert to fraction form
    80,806.40/121,231.20 = 57,478.40/x
  3. Step 3: Cross multiply
    80,806.40x = 121,231.20 × 57,478.40
  4. Step 4: Simplify right side
    80,806.40x = 6,968,175,406.08
  5. Step 5: Solve for x
    x = 6,968,175,406.08/80,806.40
  6. Step 6: Final answer
    x = 86,232.96

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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.