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Finding the Fourth Proportional to 80,677, 121,021.89 and 24,521.98

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Solution

The fourth proportional to 80,677, 121,021.89 and 24,521.98 is: 36,784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,677 : 121,021.89 = 24,521.98 : x
  2. Step 2: Convert to fraction form
    80,677/121,021.89 = 24,521.98/x
  3. Step 3: Cross multiply
    80,677x = 121,021.89 × 24,521.98
  4. Step 4: Simplify right side
    80,677x = 2,967,696,366.14
  5. Step 5: Solve for x
    x = 2,967,696,366.14/80,677
  6. Step 6: Final answer
    x = 36,784.91

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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.