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Finding the Fourth Proportional to 76,751.62, 105,920.51 and 42,760.08

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Solution

The fourth proportional to 76,751.62, 105,920.51 and 42,760.08 is: 59,010.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,751.62 : 105,920.51 = 42,760.08 : x
  2. Step 2: Convert to fraction form
    76,751.62/105,920.51 = 42,760.08/x
  3. Step 3: Cross multiply
    76,751.62x = 105,920.51 × 42,760.08
  4. Step 4: Simplify right side
    76,751.62x = 4,529,169,267.44
  5. Step 5: Solve for x
    x = 4,529,169,267.44/76,751.62
  6. Step 6: Final answer
    x = 59,010.73

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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.