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Finding the Fourth Proportional to 137,310, 189,490.68 and 77,694

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Solution

The fourth proportional to 137,310, 189,490.68 and 77,694 is: 107,219.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,310 : 189,490.68 = 77,694 : x
  2. Step 2: Convert to fraction form
    137,310/189,490.68 = 77,694/x
  3. Step 3: Cross multiply
    137,310x = 189,490.68 × 77,694
  4. Step 4: Simplify right side
    137,310x = 14,722,288,891.92
  5. Step 5: Solve for x
    x = 14,722,288,891.92/137,310
  6. Step 6: Final answer
    x = 107,219.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.