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Finding the Fourth Proportional to 78,353.19, 107,711.58 and 67,411.38

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Solution

The fourth proportional to 78,353.19, 107,711.58 and 67,411.38 is: 92,669.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,353.19 : 107,711.58 = 67,411.38 : x
  2. Step 2: Convert to fraction form
    78,353.19/107,711.58 = 67,411.38/x
  3. Step 3: Cross multiply
    78,353.19x = 107,711.58 × 67,411.38
  4. Step 4: Simplify right side
    78,353.19x = 7,260,986,249.78
  5. Step 5: Solve for x
    x = 7,260,986,249.78/78,353.19
  6. Step 6: Final answer
    x = 92,669.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.