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Finding the Fourth Proportional to 80,992.20, 121,488.30 and 77,881.80

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Solution

The fourth proportional to 80,992.20, 121,488.30 and 77,881.80 is: 116,822.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,992.20 : 121,488.30 = 77,881.80 : x
  2. Step 2: Convert to fraction form
    80,992.20/121,488.30 = 77,881.80/x
  3. Step 3: Cross multiply
    80,992.20x = 121,488.30 × 77,881.80
  4. Step 4: Simplify right side
    80,992.20x = 9,461,727,482.94
  5. Step 5: Solve for x
    x = 9,461,727,482.94/80,992.20
  6. Step 6: Final answer
    x = 116,822.70

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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.