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Finding the Fourth Proportional to 159,298.29, 219,827.05 and 87,676.77

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Solution

The fourth proportional to 159,298.29, 219,827.05 and 87,676.77 is: 120,991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,298.29 : 219,827.05 = 87,676.77 : x
  2. Step 2: Convert to fraction form
    159,298.29/219,827.05 = 87,676.77/x
  3. Step 3: Cross multiply
    159,298.29x = 219,827.05 × 87,676.77
  4. Step 4: Simplify right side
    159,298.29x = 19,273,726,307.79
  5. Step 5: Solve for x
    x = 19,273,726,307.79/159,298.29
  6. Step 6: Final answer
    x = 120,991.42

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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.