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Finding the Fourth Proportional to 83,142, 114,738.48 and 45,418.68

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Solution

The fourth proportional to 83,142, 114,738.48 and 45,418.68 is: 62,679.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,142 : 114,738.48 = 45,418.68 : x
  2. Step 2: Convert to fraction form
    83,142/114,738.48 = 45,418.68/x
  3. Step 3: Cross multiply
    83,142x = 114,738.48 × 45,418.68
  4. Step 4: Simplify right side
    83,142x = 5,211,270,306.81
  5. Step 5: Solve for x
    x = 5,211,270,306.81/83,142
  6. Step 6: Final answer
    x = 62,679.16

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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.