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Finding the Fourth Proportional to 224,392.32, 309,647.52 and 128,832

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Solution

The fourth proportional to 224,392.32, 309,647.52 and 128,832 is: 177,780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,392.32 : 309,647.52 = 128,832 : x
  2. Step 2: Convert to fraction form
    224,392.32/309,647.52 = 128,832/x
  3. Step 3: Cross multiply
    224,392.32x = 309,647.52 × 128,832
  4. Step 4: Simplify right side
    224,392.32x = 39,892,509,296.64
  5. Step 5: Solve for x
    x = 39,892,509,296.64/224,392.32
  6. Step 6: Final answer
    x = 177,780.19

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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.