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Finding the Fourth Proportional to 61,678.89, 85,118.96 and 37,800.97

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Solution

The fourth proportional to 61,678.89, 85,118.96 and 37,800.97 is: 52,166.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,678.89 : 85,118.96 = 37,800.97 : x
  2. Step 2: Convert to fraction form
    61,678.89/85,118.96 = 37,800.97/x
  3. Step 3: Cross multiply
    61,678.89x = 85,118.96 × 37,800.97
  4. Step 4: Simplify right side
    61,678.89x = 3,217,579,135.10
  5. Step 5: Solve for x
    x = 3,217,579,135.10/61,678.89
  6. Step 6: Final answer
    x = 52,166.62

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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.