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Finding the Fourth Proportional to 83,621.81, 115,398.10 and 45,898.49

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Solution

The fourth proportional to 83,621.81, 115,398.10 and 45,898.49 is: 63,339.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,621.81 : 115,398.10 = 45,898.49 : x
  2. Step 2: Convert to fraction form
    83,621.81/115,398.10 = 45,898.49/x
  3. Step 3: Cross multiply
    83,621.81x = 115,398.10 × 45,898.49
  4. Step 4: Simplify right side
    83,621.81x = 5,296,598,884.74
  5. Step 5: Solve for x
    x = 5,296,598,884.74/83,621.81
  6. Step 6: Final answer
    x = 63,339.92

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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.