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Finding the Fourth Proportional to 76,924.72, 106,159.08 and 43,390

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Solution

The fourth proportional to 76,924.72, 106,159.08 and 43,390 is: 59,879.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,924.72 : 106,159.08 = 43,390 : x
  2. Step 2: Convert to fraction form
    76,924.72/106,159.08 = 43,390/x
  3. Step 3: Cross multiply
    76,924.72x = 106,159.08 × 43,390
  4. Step 4: Simplify right side
    76,924.72x = 4,606,242,481.20
  5. Step 5: Solve for x
    x = 4,606,242,481.20/76,924.72
  6. Step 6: Final answer
    x = 59,879.87

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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.