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Finding the Fourth Proportional to 83,704.35, 115,506.90 and 45,978.60

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Solution

The fourth proportional to 83,704.35, 115,506.90 and 45,978.60 is: 63,447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,704.35 : 115,506.90 = 45,978.60 : x
  2. Step 2: Convert to fraction form
    83,704.35/115,506.90 = 45,978.60/x
  3. Step 3: Cross multiply
    83,704.35x = 115,506.90 × 45,978.60
  4. Step 4: Simplify right side
    83,704.35x = 5,310,845,552.34
  5. Step 5: Solve for x
    x = 5,310,845,552.34/83,704.35
  6. Step 6: Final answer
    x = 63,447.66

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1.5x scale

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.