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Finding the Fourth Proportional to 78,498.78, 117,747.15 and 19,334.97

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Solution

The fourth proportional to 78,498.78, 117,747.15 and 19,334.97 is: 29,002.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,498.78 : 117,747.15 = 19,334.97 : x
  2. Step 2: Convert to fraction form
    78,498.78/117,747.15 = 19,334.97/x
  3. Step 3: Cross multiply
    78,498.78x = 117,747.15 × 19,334.97
  4. Step 4: Simplify right side
    78,498.78x = 2,276,637,612.84
  5. Step 5: Solve for x
    x = 2,276,637,612.84/78,498.78
  6. Step 6: Final answer
    x = 29,002.20

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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.