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Finding the Fourth Proportional to 137,481, 189,723.36 and 83,766

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Solution

The fourth proportional to 137,481, 189,723.36 and 83,766 is: 115,596.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,481 : 189,723.36 = 83,766 : x
  2. Step 2: Convert to fraction form
    137,481/189,723.36 = 83,766/x
  3. Step 3: Cross multiply
    137,481x = 189,723.36 × 83,766
  4. Step 4: Simplify right side
    137,481x = 15,892,366,973.76
  5. Step 5: Solve for x
    x = 15,892,366,973.76/137,481
  6. Step 6: Final answer
    x = 115,596.82

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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.