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Finding the Fourth Proportional to 78,351.78, 108,098.91 and 51,492.18

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Solution

The fourth proportional to 78,351.78, 108,098.91 and 51,492.18 is: 71,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,351.78 : 108,098.91 = 51,492.18 : x
  2. Step 2: Convert to fraction form
    78,351.78/108,098.91 = 51,492.18/x
  3. Step 3: Cross multiply
    78,351.78x = 108,098.91 × 51,492.18
  4. Step 4: Simplify right side
    78,351.78x = 5,566,248,531.52
  5. Step 5: Solve for x
    x = 5,566,248,531.52/78,351.78
  6. Step 6: Final answer
    x = 71,041.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.