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Finding the Fourth Proportional to 83,478.25, 115,207.28 and 45,759.79

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Solution

The fourth proportional to 83,478.25, 115,207.28 and 45,759.79 is: 63,152.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,478.25 : 115,207.28 = 45,759.79 : x
  2. Step 2: Convert to fraction form
    83,478.25/115,207.28 = 45,759.79/x
  3. Step 3: Cross multiply
    83,478.25x = 115,207.28 × 45,759.79
  4. Step 4: Simplify right side
    83,478.25x = 5,271,860,939.27
  5. Step 5: Solve for x
    x = 5,271,860,939.27/83,478.25
  6. Step 6: Final answer
    x = 63,152.51

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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.