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Finding the Fourth Proportional to 229,878.66, 344,706.93 and 80,115.42

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Solution

The fourth proportional to 229,878.66, 344,706.93 and 80,115.42 is: 120,134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,878.66 : 344,706.93 = 80,115.42 : x
  2. Step 2: Convert to fraction form
    229,878.66/344,706.93 = 80,115.42/x
  3. Step 3: Cross multiply
    229,878.66x = 344,706.93 × 80,115.42
  4. Step 4: Simplify right side
    229,878.66x = 27,616,340,473.86
  5. Step 5: Solve for x
    x = 27,616,340,473.86/229,878.66
  6. Step 6: Final answer
    x = 120,134.42

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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.