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Finding the Fourth Proportional to 139,552.86, 192,483.90 and 85,767.24

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Solution

The fourth proportional to 139,552.86, 192,483.90 and 85,767.24 is: 118,297.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,552.86 : 192,483.90 = 85,767.24 : x
  2. Step 2: Convert to fraction form
    139,552.86/192,483.90 = 85,767.24/x
  3. Step 3: Cross multiply
    139,552.86x = 192,483.90 × 85,767.24
  4. Step 4: Simplify right side
    139,552.86x = 16,508,812,847.44
  5. Step 5: Solve for x
    x = 16,508,812,847.44/139,552.86
  6. Step 6: Final answer
    x = 118,297.92

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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.