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Finding the Fourth Proportional to 83,906.56, 115,780.53 and 56,741.77

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Solution

The fourth proportional to 83,906.56, 115,780.53 and 56,741.77 is: 78,296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,906.56 : 115,780.53 = 56,741.77 : x
  2. Step 2: Convert to fraction form
    83,906.56/115,780.53 = 56,741.77/x
  3. Step 3: Cross multiply
    83,906.56x = 115,780.53 × 56,741.77
  4. Step 4: Simplify right side
    83,906.56x = 6,569,592,203.74
  5. Step 5: Solve for x
    x = 6,569,592,203.74/83,906.56
  6. Step 6: Final answer
    x = 78,296.53

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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.