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Finding the Fourth Proportional to 227,876.79, 341,856.70 and 78,132.20

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Solution

The fourth proportional to 227,876.79, 341,856.70 and 78,132.20 is: 117,212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,876.79 : 341,856.70 = 78,132.20 : x
  2. Step 2: Convert to fraction form
    227,876.79/341,856.70 = 78,132.20/x
  3. Step 3: Cross multiply
    227,876.79x = 341,856.70 × 78,132.20
  4. Step 4: Simplify right side
    227,876.79x = 26,710,014,590.62
  5. Step 5: Solve for x
    x = 26,710,014,590.62/227,876.79
  6. Step 6: Final answer
    x = 117,212.53

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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.