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Finding the Fourth Proportional to 147,583, 203,664.34 and 80,515

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Solution

The fourth proportional to 147,583, 203,664.34 and 80,515 is: 111,110.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,583 : 203,664.34 = 80,515 : x
  2. Step 2: Convert to fraction form
    147,583/203,664.34 = 80,515/x
  3. Step 3: Cross multiply
    147,583x = 203,664.34 × 80,515
  4. Step 4: Simplify right side
    147,583x = 16,398,034,335.10
  5. Step 5: Solve for x
    x = 16,398,034,335.10/147,583
  6. Step 6: Final answer
    x = 111,110.59

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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.