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Finding the Fourth Proportional to 132,084, 198,127.62 and 48,978

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Solution

The fourth proportional to 132,084, 198,127.62 and 48,978 is: 73,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,084 : 198,127.62 = 48,978 : x
  2. Step 2: Convert to fraction form
    132,084/198,127.62 = 48,978/x
  3. Step 3: Cross multiply
    132,084x = 198,127.62 × 48,978
  4. Step 4: Simplify right side
    132,084x = 9,703,894,572.36
  5. Step 5: Solve for x
    x = 9,703,894,572.36/132,084
  6. Step 6: Final answer
    x = 73,467.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.