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Finding the Fourth Proportional to 224,622.83, 309,992.04 and 122,657.78

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Solution

The fourth proportional to 224,622.83, 309,992.04 and 122,657.78 is: 169,274.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,622.83 : 309,992.04 = 122,657.78 : x
  2. Step 2: Convert to fraction form
    224,622.83/309,992.04 = 122,657.78/x
  3. Step 3: Cross multiply
    224,622.83x = 309,992.04 × 122,657.78
  4. Step 4: Simplify right side
    224,622.83x = 38,022,933,894.11
  5. Step 5: Solve for x
    x = 38,022,933,894.11/224,622.83
  6. Step 6: Final answer
    x = 169,274.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.