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Finding the Fourth Proportional to 102,694.20, 154,041.30 and 91,807.80

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Solution

The fourth proportional to 102,694.20, 154,041.30 and 91,807.80 is: 137,711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,694.20 : 154,041.30 = 91,807.80 : x
  2. Step 2: Convert to fraction form
    102,694.20/154,041.30 = 91,807.80/x
  3. Step 3: Cross multiply
    102,694.20x = 154,041.30 × 91,807.80
  4. Step 4: Simplify right side
    102,694.20x = 14,142,192,862.14
  5. Step 5: Solve for x
    x = 14,142,192,862.14/102,694.20
  6. Step 6: Final answer
    x = 137,711.70

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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.