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Finding the Fourth Proportional to 137,357.83, 189,583.10 and 80,801.47

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Solution

The fourth proportional to 137,357.83, 189,583.10 and 80,801.47 is: 111,523.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,357.83 : 189,583.10 = 80,801.47 : x
  2. Step 2: Convert to fraction form
    137,357.83/189,583.10 = 80,801.47/x
  3. Step 3: Cross multiply
    137,357.83x = 189,583.10 × 80,801.47
  4. Step 4: Simplify right side
    137,357.83x = 15,318,593,167.16
  5. Step 5: Solve for x
    x = 15,318,593,167.16/137,357.83
  6. Step 6: Final answer
    x = 111,523.26

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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.