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Finding the Fourth Proportional to 83,144.40, 114,739.08 and 45,418.64

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Solution

The fourth proportional to 83,144.40, 114,739.08 and 45,418.64 is: 62,677.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,144.40 : 114,739.08 = 45,418.64 : x
  2. Step 2: Convert to fraction form
    83,144.40/114,739.08 = 45,418.64/x
  3. Step 3: Cross multiply
    83,144.40x = 114,739.08 × 45,418.64
  4. Step 4: Simplify right side
    83,144.40x = 5,211,292,968.45
  5. Step 5: Solve for x
    x = 5,211,292,968.45/83,144.40
  6. Step 6: Final answer
    x = 62,677.62

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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.