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Finding the Fourth Proportional to 159,578.56, 220,172.64 and 103,022.08

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Solution

The fourth proportional to 159,578.56, 220,172.64 and 103,022.08 is: 142,140.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,578.56 : 220,172.64 = 103,022.08 : x
  2. Step 2: Convert to fraction form
    159,578.56/220,172.64 = 103,022.08/x
  3. Step 3: Cross multiply
    159,578.56x = 220,172.64 × 103,022.08
  4. Step 4: Simplify right side
    159,578.56x = 22,682,643,331.89
  5. Step 5: Solve for x
    x = 22,682,643,331.89/159,578.56
  6. Step 6: Final answer
    x = 142,140.92

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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.