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Finding the Fourth Proportional to 68,978.63, 103,374.38 and 31,492.23

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Solution

The fourth proportional to 68,978.63, 103,374.38 and 31,492.23 is: 47,195.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,978.63 : 103,374.38 = 31,492.23 : x
  2. Step 2: Convert to fraction form
    68,978.63/103,374.38 = 31,492.23/x
  3. Step 3: Cross multiply
    68,978.63x = 103,374.38 × 31,492.23
  4. Step 4: Simplify right side
    68,978.63x = 3,255,489,593.61
  5. Step 5: Solve for x
    x = 3,255,489,593.61/68,978.63
  6. Step 6: Final answer
    x = 47,195.63

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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.