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Finding the Fourth Proportional to 138,619.09, 191,294.54 and 74,956.88

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Solution

The fourth proportional to 138,619.09, 191,294.54 and 74,956.88 is: 103,440.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,619.09 : 191,294.54 = 74,956.88 : x
  2. Step 2: Convert to fraction form
    138,619.09/191,294.54 = 74,956.88/x
  3. Step 3: Cross multiply
    138,619.09x = 191,294.54 × 74,956.88
  4. Step 4: Simplify right side
    138,619.09x = 14,338,841,504.65
  5. Step 5: Solve for x
    x = 14,338,841,504.65/138,619.09
  6. Step 6: Final answer
    x = 103,440.60

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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.