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Finding the Fourth Proportional to 147,569, 203,649.54 and 80,505.32

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Solution

The fourth proportional to 147,569, 203,649.54 and 80,505.32 is: 111,099.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,569 : 203,649.54 = 80,505.32 : x
  2. Step 2: Convert to fraction form
    147,569/203,649.54 = 80,505.32/x
  3. Step 3: Cross multiply
    147,569x = 203,649.54 × 80,505.32
  4. Step 4: Simplify right side
    147,569x = 16,394,871,385.55
  5. Step 5: Solve for x
    x = 16,394,871,385.55/147,569
  6. Step 6: Final answer
    x = 111,099.70

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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.