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Finding the Fourth Proportional to 139,477.86, 209,214.90 and 34,297.74

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Solution

The fourth proportional to 139,477.86, 209,214.90 and 34,297.74 is: 51,446.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,477.86 : 209,214.90 = 34,297.74 : x
  2. Step 2: Convert to fraction form
    139,477.86/209,214.90 = 34,297.74/x
  3. Step 3: Cross multiply
    139,477.86x = 209,214.90 × 34,297.74
  4. Step 4: Simplify right side
    139,477.86x = 7,175,598,244.33
  5. Step 5: Solve for x
    x = 7,175,598,244.33/139,477.86
  6. Step 6: Final answer
    x = 51,446.15

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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.