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Finding the Fourth Proportional to 83,581.03, 115,343.85 and 45,855.28

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Solution

The fourth proportional to 83,581.03, 115,343.85 and 45,855.28 is: 63,281.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,581.03 : 115,343.85 = 45,855.28 : x
  2. Step 2: Convert to fraction form
    83,581.03/115,343.85 = 45,855.28/x
  3. Step 3: Cross multiply
    83,581.03x = 115,343.85 × 45,855.28
  4. Step 4: Simplify right side
    83,581.03x = 5,289,124,596.23
  5. Step 5: Solve for x
    x = 5,289,124,596.23/83,581.03
  6. Step 6: Final answer
    x = 63,281.40

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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.