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Finding the Fourth Proportional to 76,982, 106,235.48 and 41,654

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Solution

The fourth proportional to 76,982, 106,235.48 and 41,654 is: 57,482.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,982 : 106,235.48 = 41,654 : x
  2. Step 2: Convert to fraction form
    76,982/106,235.48 = 41,654/x
  3. Step 3: Cross multiply
    76,982x = 106,235.48 × 41,654
  4. Step 4: Simplify right side
    76,982x = 4,425,132,683.92
  5. Step 5: Solve for x
    x = 4,425,132,683.92/76,982
  6. Step 6: Final answer
    x = 57,482.69

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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.