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Finding the Fourth Proportional to 83,478.42, 115,205.64 and 45,752.64

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Solution

The fourth proportional to 83,478.42, 115,205.64 and 45,752.64 is: 63,141.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,478.42 : 115,205.64 = 45,752.64 : x
  2. Step 2: Convert to fraction form
    83,478.42/115,205.64 = 45,752.64/x
  3. Step 3: Cross multiply
    83,478.42x = 115,205.64 × 45,752.64
  4. Step 4: Simplify right side
    83,478.42x = 5,270,962,172.89
  5. Step 5: Solve for x
    x = 5,270,962,172.89/83,478.42
  6. Step 6: Final answer
    x = 63,141.61

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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.