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Finding the Fourth Proportional to 159,862.20, 220,531.50 and 103,322.04

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Solution

The fourth proportional to 159,862.20, 220,531.50 and 103,322.04 is: 142,533.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,862.20 : 220,531.50 = 103,322.04 : x
  2. Step 2: Convert to fraction form
    159,862.20/220,531.50 = 103,322.04/x
  3. Step 3: Cross multiply
    159,862.20x = 220,531.50 × 103,322.04
  4. Step 4: Simplify right side
    159,862.20x = 22,785,764,464.26
  5. Step 5: Solve for x
    x = 22,785,764,464.26/159,862.20
  6. Step 6: Final answer
    x = 142,533.79

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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.