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Finding the Fourth Proportional to 159,066, 219,516.21 and 87,451.20

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Solution

The fourth proportional to 159,066, 219,516.21 and 87,451.20 is: 120,685.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,066 : 219,516.21 = 87,451.20 : x
  2. Step 2: Convert to fraction form
    159,066/219,516.21 = 87,451.20/x
  3. Step 3: Cross multiply
    159,066x = 219,516.21 × 87,451.20
  4. Step 4: Simplify right side
    159,066x = 19,196,955,983.95
  5. Step 5: Solve for x
    x = 19,196,955,983.95/159,066
  6. Step 6: Final answer
    x = 120,685.48

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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.