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Finding the Fourth Proportional to 78,112.98, 117,170.15 and 18,948.69

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Solution

The fourth proportional to 78,112.98, 117,170.15 and 18,948.69 is: 28,423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,112.98 : 117,170.15 = 18,948.69 : x
  2. Step 2: Convert to fraction form
    78,112.98/117,170.15 = 18,948.69/x
  3. Step 3: Cross multiply
    78,112.98x = 117,170.15 × 18,948.69
  4. Step 4: Simplify right side
    78,112.98x = 2,220,220,754.86
  5. Step 5: Solve for x
    x = 2,220,220,754.86/78,112.98
  6. Step 6: Final answer
    x = 28,423.20

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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.