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Finding the Fourth Proportional to 83,987.85, 115,903.40 and 45,747.28

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Solution

The fourth proportional to 83,987.85, 115,903.40 and 45,747.28 is: 63,131.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,987.85 : 115,903.40 = 45,747.28 : x
  2. Step 2: Convert to fraction form
    83,987.85/115,903.40 = 45,747.28/x
  3. Step 3: Cross multiply
    83,987.85x = 115,903.40 × 45,747.28
  4. Step 4: Simplify right side
    83,987.85x = 5,302,265,064.02
  5. Step 5: Solve for x
    x = 5,302,265,064.02/83,987.85
  6. Step 6: Final answer
    x = 63,131.33

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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.