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Finding the Fourth Proportional to 83,987.73, 115,903.22 and 45,747.16

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Solution

The fourth proportional to 83,987.73, 115,903.22 and 45,747.16 is: 63,131.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,987.73 : 115,903.22 = 45,747.16 : x
  2. Step 2: Convert to fraction form
    83,987.73/115,903.22 = 45,747.16/x
  3. Step 3: Cross multiply
    83,987.73x = 115,903.22 × 45,747.16
  4. Step 4: Simplify right side
    83,987.73x = 5,302,242,570.34
  5. Step 5: Solve for x
    x = 5,302,242,570.34/83,987.73
  6. Step 6: Final answer
    x = 63,131.16

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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.