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Finding the Fourth Proportional to 138,848.65, 191,611.31 and 75,186.29

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Solution

The fourth proportional to 138,848.65, 191,611.31 and 75,186.29 is: 103,757.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,848.65 : 191,611.31 = 75,186.29 : x
  2. Step 2: Convert to fraction form
    138,848.65/191,611.31 = 75,186.29/x
  3. Step 3: Cross multiply
    138,848.65x = 191,611.31 × 75,186.29
  4. Step 4: Simplify right side
    138,848.65x = 14,406,543,624.04
  5. Step 5: Solve for x
    x = 14,406,543,624.04/138,848.65
  6. Step 6: Final answer
    x = 103,757.18

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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.