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Finding the Fourth Proportional to 102,877, 154,314.38 and 78,069.40

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Solution

The fourth proportional to 102,877, 154,314.38 and 78,069.40 is: 117,103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,877 : 154,314.38 = 78,069.40 : x
  2. Step 2: Convert to fraction form
    102,877/154,314.38 = 78,069.40/x
  3. Step 3: Cross multiply
    102,877x = 154,314.38 × 78,069.40
  4. Step 4: Simplify right side
    102,877x = 12,047,231,057.97
  5. Step 5: Solve for x
    x = 12,047,231,057.97/102,877
  6. Step 6: Final answer
    x = 117,103.25

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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.