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Finding the Fourth Proportional to 83,718, 115,530.89 and 45,994.68

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Solution

The fourth proportional to 83,718, 115,530.89 and 45,994.68 is: 63,472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,718 : 115,530.89 = 45,994.68 : x
  2. Step 2: Convert to fraction form
    83,718/115,530.89 = 45,994.68/x
  3. Step 3: Cross multiply
    83,718x = 115,530.89 × 45,994.68
  4. Step 4: Simplify right side
    83,718x = 5,313,806,315.67
  5. Step 5: Solve for x
    x = 5,313,806,315.67/83,718
  6. Step 6: Final answer
    x = 63,472.69

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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.