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Finding the Fourth Proportional to 147,906.40, 221,816.40 and 53,125.60

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Solution

The fourth proportional to 147,906.40, 221,816.40 and 53,125.60 is: 79,672.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,906.40 : 221,816.40 = 53,125.60 : x
  2. Step 2: Convert to fraction form
    147,906.40/221,816.40 = 53,125.60/x
  3. Step 3: Cross multiply
    147,906.40x = 221,816.40 × 53,125.60
  4. Step 4: Simplify right side
    147,906.40x = 11,784,129,339.84
  5. Step 5: Solve for x
    x = 11,784,129,339.84/147,906.40
  6. Step 6: Final answer
    x = 79,672.88

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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.