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Finding the Fourth Proportional to 115,959.76, 173,937.12 and 31,719.91

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Solution

The fourth proportional to 115,959.76, 173,937.12 and 31,719.91 is: 47,579.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,959.76 : 173,937.12 = 31,719.91 : x
  2. Step 2: Convert to fraction form
    115,959.76/173,937.12 = 31,719.91/x
  3. Step 3: Cross multiply
    115,959.76x = 173,937.12 × 31,719.91
  4. Step 4: Simplify right side
    115,959.76x = 5,517,269,792.06
  5. Step 5: Solve for x
    x = 5,517,269,792.06/115,959.76
  6. Step 6: Final answer
    x = 47,579.18

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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.