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Finding the Fourth Proportional to 159,404.16, 219,976.02 and 87,782.70

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Solution

The fourth proportional to 159,404.16, 219,976.02 and 87,782.70 is: 121,139.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,404.16 : 219,976.02 = 87,782.70 : x
  2. Step 2: Convert to fraction form
    159,404.16/219,976.02 = 87,782.70/x
  3. Step 3: Cross multiply
    159,404.16x = 219,976.02 × 87,782.70
  4. Step 4: Simplify right side
    159,404.16x = 19,310,088,970.85
  5. Step 5: Solve for x
    x = 19,310,088,970.85/159,404.16
  6. Step 6: Final answer
    x = 121,139.18

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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.