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Finding the Fourth Proportional to 78,389.10, 117,734.85 and 67,169.79

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Solution

The fourth proportional to 78,389.10, 117,734.85 and 67,169.79 is: 100,884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,389.10 : 117,734.85 = 67,169.79 : x
  2. Step 2: Convert to fraction form
    78,389.10/117,734.85 = 67,169.79/x
  3. Step 3: Cross multiply
    78,389.10x = 117,734.85 × 67,169.79
  4. Step 4: Simplify right side
    78,389.10x = 7,908,225,150.18
  5. Step 5: Solve for x
    x = 7,908,225,150.18/78,389.10
  6. Step 6: Final answer
    x = 100,884.24

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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.