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Finding the Fourth Proportional to 147,566, 203,641.08 and 80,498

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Solution

The fourth proportional to 147,566, 203,641.08 and 80,498 is: 111,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,566 : 203,641.08 = 80,498 : x
  2. Step 2: Convert to fraction form
    147,566/203,641.08 = 80,498/x
  3. Step 3: Cross multiply
    147,566x = 203,641.08 × 80,498
  4. Step 4: Simplify right side
    147,566x = 16,392,699,657.84
  5. Step 5: Solve for x
    x = 16,392,699,657.84/147,566
  6. Step 6: Final answer
    x = 111,087.24

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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.