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Finding the Fourth Proportional to 122,231.20, 183,260.40 and 47,322.40

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Solution

The fourth proportional to 122,231.20, 183,260.40 and 47,322.40 is: 70,950.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,231.20 : 183,260.40 = 47,322.40 : x
  2. Step 2: Convert to fraction form
    122,231.20/183,260.40 = 47,322.40/x
  3. Step 3: Cross multiply
    122,231.20x = 183,260.40 × 47,322.40
  4. Step 4: Simplify right side
    122,231.20x = 8,672,321,952.96
  5. Step 5: Solve for x
    x = 8,672,321,952.96/122,231.20
  6. Step 6: Final answer
    x = 70,950.15

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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.