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Finding the Fourth Proportional to 138,616.46, 191,290.57 and 74,954.10

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Solution

The fourth proportional to 138,616.46, 191,290.57 and 74,954.10 is: 103,436.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,616.46 : 191,290.57 = 74,954.10 : x
  2. Step 2: Convert to fraction form
    138,616.46/191,290.57 = 74,954.10/x
  3. Step 3: Cross multiply
    138,616.46x = 191,290.57 × 74,954.10
  4. Step 4: Simplify right side
    138,616.46x = 14,338,012,138.07
  5. Step 5: Solve for x
    x = 14,338,012,138.07/138,616.46
  6. Step 6: Final answer
    x = 103,436.58

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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.