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Finding the Fourth Proportional to 61,545.38, 84,890.40 and 37,683.86

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Solution

The fourth proportional to 61,545.38, 84,890.40 and 37,683.86 is: 51,977.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,545.38 : 84,890.40 = 37,683.86 : x
  2. Step 2: Convert to fraction form
    61,545.38/84,890.40 = 37,683.86/x
  3. Step 3: Cross multiply
    61,545.38x = 84,890.40 × 37,683.86
  4. Step 4: Simplify right side
    61,545.38x = 3,198,997,948.94
  5. Step 5: Solve for x
    x = 3,198,997,948.94/61,545.38
  6. Step 6: Final answer
    x = 51,977.87

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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.