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Finding the Fourth Proportional to 83,855.81, 115,723.13 and 45,617.51

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Solution

The fourth proportional to 83,855.81, 115,723.13 and 45,617.51 is: 62,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,855.81 : 115,723.13 = 45,617.51 : x
  2. Step 2: Convert to fraction form
    83,855.81/115,723.13 = 45,617.51/x
  3. Step 3: Cross multiply
    83,855.81x = 115,723.13 × 45,617.51
  4. Step 4: Simplify right side
    83,855.81x = 5,279,001,101.23
  5. Step 5: Solve for x
    x = 5,279,001,101.23/83,855.81
  6. Step 6: Final answer
    x = 62,953.31

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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.