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Finding the Fourth Proportional to 80,417.84, 120,815.27 and 75,873.50

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Solution

The fourth proportional to 80,417.84, 120,815.27 and 75,873.50 is: 113,988.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,417.84 : 120,815.27 = 75,873.50 : x
  2. Step 2: Convert to fraction form
    80,417.84/120,815.27 = 75,873.50/x
  3. Step 3: Cross multiply
    80,417.84x = 120,815.27 × 75,873.50
  4. Step 4: Simplify right side
    80,417.84x = 9,166,677,388.35
  5. Step 5: Solve for x
    x = 9,166,677,388.35/80,417.84
  6. Step 6: Final answer
    x = 113,988.11

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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.