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Finding the Fourth Proportional to 139,202.68, 208,802.22 and 34,022.56

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Solution

The fourth proportional to 139,202.68, 208,802.22 and 34,022.56 is: 51,033.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,202.68 : 208,802.22 = 34,022.56 : x
  2. Step 2: Convert to fraction form
    139,202.68/208,802.22 = 34,022.56/x
  3. Step 3: Cross multiply
    139,202.68x = 208,802.22 × 34,022.56
  4. Step 4: Simplify right side
    139,202.68x = 7,103,986,058.08
  5. Step 5: Solve for x
    x = 7,103,986,058.08/139,202.68
  6. Step 6: Final answer
    x = 51,033.40

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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.