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Finding the Fourth Proportional to 147,653, 203,761.32 and 80,585

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Solution

The fourth proportional to 147,653, 203,761.32 and 80,585 is: 111,207.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,653 : 203,761.32 = 80,585 : x
  2. Step 2: Convert to fraction form
    147,653/203,761.32 = 80,585/x
  3. Step 3: Cross multiply
    147,653x = 203,761.32 × 80,585
  4. Step 4: Simplify right side
    147,653x = 16,420,105,972.20
  5. Step 5: Solve for x
    x = 16,420,105,972.20/147,653
  6. Step 6: Final answer
    x = 111,207.40

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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.