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Finding the Fourth Proportional to 229,376.78, 344,065.16 and 71,618.75

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Solution

The fourth proportional to 229,376.78, 344,065.16 and 71,618.75 is: 107,428.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,376.78 : 344,065.16 = 71,618.75 : x
  2. Step 2: Convert to fraction form
    229,376.78/344,065.16 = 71,618.75/x
  3. Step 3: Cross multiply
    229,376.78x = 344,065.16 × 71,618.75
  4. Step 4: Simplify right side
    229,376.78x = 24,641,516,677.75
  5. Step 5: Solve for x
    x = 24,641,516,677.75/229,376.78
  6. Step 6: Final answer
    x = 107,428.12

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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.