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Finding the Fourth Proportional to 159,202.60, 219,698.01 and 87,582.70

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Solution

The fourth proportional to 159,202.60, 219,698.01 and 87,582.70 is: 120,863.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,202.60 : 219,698.01 = 87,582.70 : x
  2. Step 2: Convert to fraction form
    159,202.60/219,698.01 = 87,582.70/x
  3. Step 3: Cross multiply
    159,202.60x = 219,698.01 × 87,582.70
  4. Step 4: Simplify right side
    159,202.60x = 19,241,744,900.43
  5. Step 5: Solve for x
    x = 19,241,744,900.43/159,202.60
  6. Step 6: Final answer
    x = 120,863.26

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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.