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Finding the Fourth Proportional to 117,138.86, 161,585.62 and 74,105

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Solution

The fourth proportional to 117,138.86, 161,585.62 and 74,105 is: 102,223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,138.86 : 161,585.62 = 74,105 : x
  2. Step 2: Convert to fraction form
    117,138.86/161,585.62 = 74,105/x
  3. Step 3: Cross multiply
    117,138.86x = 161,585.62 × 74,105
  4. Step 4: Simplify right side
    117,138.86x = 11,974,302,370.10
  5. Step 5: Solve for x
    x = 11,974,302,370.10/117,138.86
  6. Step 6: Final answer
    x = 102,223.14

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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.