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Finding the Fourth Proportional to 147,747, 203,890.86 and 80,679

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Solution

The fourth proportional to 147,747, 203,890.86 and 80,679 is: 111,337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,747 : 203,890.86 = 80,679 : x
  2. Step 2: Convert to fraction form
    147,747/203,890.86 = 80,679/x
  3. Step 3: Cross multiply
    147,747x = 203,890.86 × 80,679
  4. Step 4: Simplify right side
    147,747x = 16,449,710,693.94
  5. Step 5: Solve for x
    x = 16,449,710,693.94/147,747
  6. Step 6: Final answer
    x = 111,337.02

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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.