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Finding the Fourth Proportional to 80,851.60, 121,277.40 and 77,438.80

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Solution

The fourth proportional to 80,851.60, 121,277.40 and 77,438.80 is: 116,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,851.60 : 121,277.40 = 77,438.80 : x
  2. Step 2: Convert to fraction form
    80,851.60/121,277.40 = 77,438.80/x
  3. Step 3: Cross multiply
    80,851.60x = 121,277.40 × 77,438.80
  4. Step 4: Simplify right side
    80,851.60x = 9,391,576,323.12
  5. Step 5: Solve for x
    x = 9,391,576,323.12/80,851.60
  6. Step 6: Final answer
    x = 116,158.20

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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.