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Finding the Fourth Proportional to 76,798.65, 105,982.61 and 42,809.29

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Solution

The fourth proportional to 76,798.65, 105,982.61 and 42,809.29 is: 59,077.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,798.65 : 105,982.61 = 42,809.29 : x
  2. Step 2: Convert to fraction form
    76,798.65/105,982.61 = 42,809.29/x
  3. Step 3: Cross multiply
    76,798.65x = 105,982.61 × 42,809.29
  4. Step 4: Simplify right side
    76,798.65x = 4,537,040,644.40
  5. Step 5: Solve for x
    x = 4,537,040,644.40/76,798.65
  6. Step 6: Final answer
    x = 59,077.09

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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.