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Finding the Fourth Proportional to 83,881.56, 115,758.90 and 45,643.44

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Solution

The fourth proportional to 83,881.56, 115,758.90 and 45,643.44 is: 62,989.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,881.56 : 115,758.90 = 45,643.44 : x
  2. Step 2: Convert to fraction form
    83,881.56/115,758.90 = 45,643.44/x
  3. Step 3: Cross multiply
    83,881.56x = 115,758.90 × 45,643.44
  4. Step 4: Simplify right side
    83,881.56x = 5,283,634,406.62
  5. Step 5: Solve for x
    x = 5,283,634,406.62/83,881.56
  6. Step 6: Final answer
    x = 62,989.22

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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.