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Finding the Fourth Proportional to 159,408, 219,983.04 and 87,787.87

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Solution

The fourth proportional to 159,408, 219,983.04 and 87,787.87 is: 121,147.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,408 : 219,983.04 = 87,787.87 : x
  2. Step 2: Convert to fraction form
    159,408/219,983.04 = 87,787.87/x
  3. Step 3: Cross multiply
    159,408x = 219,983.04 × 87,787.87
  4. Step 4: Simplify right side
    159,408x = 19,311,841,967.77
  5. Step 5: Solve for x
    x = 19,311,841,967.77/159,408
  6. Step 6: Final answer
    x = 121,147.26

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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.