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Finding the Fourth Proportional to 147,304, 203,280.32 and 80,236.16

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Solution

The fourth proportional to 147,304, 203,280.32 and 80,236.16 is: 110,726.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,304 : 203,280.32 = 80,236.16 : x
  2. Step 2: Convert to fraction form
    147,304/203,280.32 = 80,236.16/x
  3. Step 3: Cross multiply
    147,304x = 203,280.32 × 80,236.16
  4. Step 4: Simplify right side
    147,304x = 16,310,432,280.37
  5. Step 5: Solve for x
    x = 16,310,432,280.37/147,304
  6. Step 6: Final answer
    x = 110,726.34

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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.