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Finding the Fourth Proportional to 147,570, 203,647.32 and 80,502

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Solution

The fourth proportional to 147,570, 203,647.32 and 80,502 is: 111,093.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,570 : 203,647.32 = 80,502 : x
  2. Step 2: Convert to fraction form
    147,570/203,647.32 = 80,502/x
  3. Step 3: Cross multiply
    147,570x = 203,647.32 × 80,502
  4. Step 4: Simplify right side
    147,570x = 16,394,016,554.64
  5. Step 5: Solve for x
    x = 16,394,016,554.64/147,570
  6. Step 6: Final answer
    x = 111,093.15

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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.