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Finding the Fourth Proportional to 147,710, 203,840.52 and 80,642

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Solution

The fourth proportional to 147,710, 203,840.52 and 80,642 is: 111,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,710 : 203,840.52 = 80,642 : x
  2. Step 2: Convert to fraction form
    147,710/203,840.52 = 80,642/x
  3. Step 3: Cross multiply
    147,710x = 203,840.52 × 80,642
  4. Step 4: Simplify right side
    147,710x = 16,438,107,213.84
  5. Step 5: Solve for x
    x = 16,438,107,213.84/147,710
  6. Step 6: Final answer
    x = 111,286.35

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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.