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Finding the Fourth Proportional to 138,991.27, 191,807.17 and 75,329.05

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Solution

The fourth proportional to 138,991.27, 191,807.17 and 75,329.05 is: 103,953.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,991.27 : 191,807.17 = 75,329.05 : x
  2. Step 2: Convert to fraction form
    138,991.27/191,807.17 = 75,329.05/x
  3. Step 3: Cross multiply
    138,991.27x = 191,807.17 × 75,329.05
  4. Step 4: Simplify right side
    138,991.27x = 14,448,651,899.29
  5. Step 5: Solve for x
    x = 14,448,651,899.29/138,991.27
  6. Step 6: Final answer
    x = 103,953.66

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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.