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Finding the Fourth Proportional to 56,781, 85,106.90 and 34,545.35

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Solution

The fourth proportional to 56,781, 85,106.90 and 34,545.35 is: 51,778.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,781 : 85,106.90 = 34,545.35 : x
  2. Step 2: Convert to fraction form
    56,781/85,106.90 = 34,545.35/x
  3. Step 3: Cross multiply
    56,781x = 85,106.90 × 34,545.35
  4. Step 4: Simplify right side
    56,781x = 2,940,047,947.05
  5. Step 5: Solve for x
    x = 2,940,047,947.05/56,781
  6. Step 6: Final answer
    x = 51,778.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.