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Finding the Fourth Proportional to 159,205.80, 219,697.04 and 87,581.28

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Solution

The fourth proportional to 159,205.80, 219,697.04 and 87,581.28 is: 120,858.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,205.80 : 219,697.04 = 87,581.28 : x
  2. Step 2: Convert to fraction form
    159,205.80/219,697.04 = 87,581.28/x
  3. Step 3: Cross multiply
    159,205.80x = 219,697.04 × 87,581.28
  4. Step 4: Simplify right side
    159,205.80x = 19,241,347,975.41
  5. Step 5: Solve for x
    x = 19,241,347,975.41/159,205.80
  6. Step 6: Final answer
    x = 120,858.34

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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.