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Finding the Fourth Proportional to 80,957.80, 121,242.30 and 65,405.80

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Solution

The fourth proportional to 80,957.80, 121,242.30 and 65,405.80 is: 97,951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,957.80 : 121,242.30 = 65,405.80 : x
  2. Step 2: Convert to fraction form
    80,957.80/121,242.30 = 65,405.80/x
  3. Step 3: Cross multiply
    80,957.80x = 121,242.30 × 65,405.80
  4. Step 4: Simplify right side
    80,957.80x = 7,929,949,625.34
  5. Step 5: Solve for x
    x = 7,929,949,625.34/80,957.80
  6. Step 6: Final answer
    x = 97,951.64

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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.