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Finding the Fourth Proportional to 43,093.78, 64,641.78 and 11,929.30

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Solution

The fourth proportional to 43,093.78, 64,641.78 and 11,929.30 is: 17,894.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,093.78 : 64,641.78 = 11,929.30 : x
  2. Step 2: Convert to fraction form
    43,093.78/64,641.78 = 11,929.30/x
  3. Step 3: Cross multiply
    43,093.78x = 64,641.78 × 11,929.30
  4. Step 4: Simplify right side
    43,093.78x = 771,131,186.15
  5. Step 5: Solve for x
    x = 771,131,186.15/43,093.78
  6. Step 6: Final answer
    x = 17,894.26

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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.