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Finding the Fourth Proportional to 122,449.60, 183,782.40 and 72,467.20

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Solution

The fourth proportional to 122,449.60, 183,782.40 and 72,467.20 is: 108,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,449.60 : 183,782.40 = 72,467.20 : x
  2. Step 2: Convert to fraction form
    122,449.60/183,782.40 = 72,467.20/x
  3. Step 3: Cross multiply
    122,449.60x = 183,782.40 × 72,467.20
  4. Step 4: Simplify right side
    122,449.60x = 13,318,195,937.28
  5. Step 5: Solve for x
    x = 13,318,195,937.28/122,449.60
  6. Step 6: Final answer
    x = 108,764.72

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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.