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Finding the Fourth Proportional to 78,112.48, 117,167.68 and 18,948.64

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Solution

The fourth proportional to 78,112.48, 117,167.68 and 18,948.64 is: 28,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,112.48 : 117,167.68 = 18,948.64 : x
  2. Step 2: Convert to fraction form
    78,112.48/117,167.68 = 18,948.64/x
  3. Step 3: Cross multiply
    78,112.48x = 117,167.68 × 18,948.64
  4. Step 4: Simplify right side
    78,112.48x = 2,220,168,187.96
  5. Step 5: Solve for x
    x = 2,220,168,187.96/78,112.48
  6. Step 6: Final answer
    x = 28,422.71

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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.