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Finding the Fourth Proportional to 78,676.65, 108,570.36 and 42,866.94

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Solution

The fourth proportional to 78,676.65, 108,570.36 and 42,866.94 is: 59,154.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,676.65 : 108,570.36 = 42,866.94 : x
  2. Step 2: Convert to fraction form
    78,676.65/108,570.36 = 42,866.94/x
  3. Step 3: Cross multiply
    78,676.65x = 108,570.36 × 42,866.94
  4. Step 4: Simplify right side
    78,676.65x = 4,654,079,107.90
  5. Step 5: Solve for x
    x = 4,654,079,107.90/78,676.65
  6. Step 6: Final answer
    x = 59,154.52

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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.