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Finding the Fourth Proportional to 78,996.78, 118,470.54 and 26,394

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Solution

The fourth proportional to 78,996.78, 118,470.54 and 26,394 is: 39,582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,996.78 : 118,470.54 = 26,394 : x
  2. Step 2: Convert to fraction form
    78,996.78/118,470.54 = 26,394/x
  3. Step 3: Cross multiply
    78,996.78x = 118,470.54 × 26,394
  4. Step 4: Simplify right side
    78,996.78x = 3,126,911,432.76
  5. Step 5: Solve for x
    x = 3,126,911,432.76/78,996.78
  6. Step 6: Final answer
    x = 39,582.77

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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.