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Finding the Fourth Proportional to 139,490.26, 209,233.32 and 34,310.14

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Solution

The fourth proportional to 139,490.26, 209,233.32 and 34,310.14 is: 51,464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,490.26 : 209,233.32 = 34,310.14 : x
  2. Step 2: Convert to fraction form
    139,490.26/209,233.32 = 34,310.14/x
  3. Step 3: Cross multiply
    139,490.26x = 209,233.32 × 34,310.14
  4. Step 4: Simplify right side
    139,490.26x = 7,178,824,501.86
  5. Step 5: Solve for x
    x = 7,178,824,501.86/139,490.26
  6. Step 6: Final answer
    x = 51,464.70

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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.