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Finding the Fourth Proportional to 83,768.78, 115,601.81 and 45,528.35

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Solution

The fourth proportional to 83,768.78, 115,601.81 and 45,528.35 is: 62,829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,768.78 : 115,601.81 = 45,528.35 : x
  2. Step 2: Convert to fraction form
    83,768.78/115,601.81 = 45,528.35/x
  3. Step 3: Cross multiply
    83,768.78x = 115,601.81 × 45,528.35
  4. Step 4: Simplify right side
    83,768.78x = 5,263,158,860.66
  5. Step 5: Solve for x
    x = 5,263,158,860.66/83,768.78
  6. Step 6: Final answer
    x = 62,829.60

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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.