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Finding the Fourth Proportional to 109,138.40, 150,609.48 and 61,391.72

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Solution

The fourth proportional to 109,138.40, 150,609.48 and 61,391.72 is: 84,719.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,138.40 : 150,609.48 = 61,391.72 : x
  2. Step 2: Convert to fraction form
    109,138.40/150,609.48 = 61,391.72/x
  3. Step 3: Cross multiply
    109,138.40x = 150,609.48 × 61,391.72
  4. Step 4: Simplify right side
    109,138.40x = 9,246,175,025.51
  5. Step 5: Solve for x
    x = 9,246,175,025.51/109,138.40
  6. Step 6: Final answer
    x = 84,719.72

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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.