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Finding the Fourth Proportional to 83,728.96, 115,506.48 and 53,498.56

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Solution

The fourth proportional to 83,728.96, 115,506.48 and 53,498.56 is: 73,802.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,728.96 : 115,506.48 = 53,498.56 : x
  2. Step 2: Convert to fraction form
    83,728.96/115,506.48 = 53,498.56/x
  3. Step 3: Cross multiply
    83,728.96x = 115,506.48 × 53,498.56
  4. Step 4: Simplify right side
    83,728.96x = 6,179,430,350.67
  5. Step 5: Solve for x
    x = 6,179,430,350.67/83,728.96
  6. Step 6: Final answer
    x = 73,802.78

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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.