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Finding the Fourth Proportional to 159,402.01, 219,976.22 and 87,782.32

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Solution

The fourth proportional to 159,402.01, 219,976.22 and 87,782.32 is: 121,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,402.01 : 219,976.22 = 87,782.32 : x
  2. Step 2: Convert to fraction form
    159,402.01/219,976.22 = 87,782.32/x
  3. Step 3: Cross multiply
    159,402.01x = 219,976.22 × 87,782.32
  4. Step 4: Simplify right side
    159,402.01x = 19,310,022,936.43
  5. Step 5: Solve for x
    x = 19,310,022,936.43/159,402.01
  6. Step 6: Final answer
    x = 121,140.40

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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.