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Finding the Fourth Proportional to 138,891.12, 191,669.76 and 75,228.72

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Solution

The fourth proportional to 138,891.12, 191,669.76 and 75,228.72 is: 103,815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,891.12 : 191,669.76 = 75,228.72 : x
  2. Step 2: Convert to fraction form
    138,891.12/191,669.76 = 75,228.72/x
  3. Step 3: Cross multiply
    138,891.12x = 191,669.76 × 75,228.72
  4. Step 4: Simplify right side
    138,891.12x = 14,419,070,707.51
  5. Step 5: Solve for x
    x = 14,419,070,707.51/138,891.12
  6. Step 6: Final answer
    x = 103,815.64

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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.