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Finding the Fourth Proportional to 221,141.01, 331,148.70 and 146,148.78

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Solution

The fourth proportional to 221,141.01, 331,148.70 and 146,148.78 is: 218,851.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,141.01 : 331,148.70 = 146,148.78 : x
  2. Step 2: Convert to fraction form
    221,141.01/331,148.70 = 146,148.78/x
  3. Step 3: Cross multiply
    221,141.01x = 331,148.70 × 146,148.78
  4. Step 4: Simplify right side
    221,141.01x = 48,396,978,503.59
  5. Step 5: Solve for x
    x = 48,396,978,503.59/221,141.01
  6. Step 6: Final answer
    x = 218,851.21

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Why These Related Problems?

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