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Finding the Fourth Proportional to 103,138.71, 154,675.67 and 39,954.46

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Solution

The fourth proportional to 103,138.71, 154,675.67 and 39,954.46 is: 59,919.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,138.71 : 154,675.67 = 39,954.46 : x
  2. Step 2: Convert to fraction form
    103,138.71/154,675.67 = 39,954.46/x
  3. Step 3: Cross multiply
    103,138.71x = 154,675.67 × 39,954.46
  4. Step 4: Simplify right side
    103,138.71x = 6,179,982,283.53
  5. Step 5: Solve for x
    x = 6,179,982,283.53/103,138.71
  6. Step 6: Final answer
    x = 59,919.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.