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Finding the Fourth Proportional to 159,306.85, 219,835.10 and 87,673.19

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Solution

The fourth proportional to 159,306.85, 219,835.10 and 87,673.19 is: 120,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,306.85 : 219,835.10 = 87,673.19 : x
  2. Step 2: Convert to fraction form
    159,306.85/219,835.10 = 87,673.19/x
  3. Step 3: Cross multiply
    159,306.85x = 219,835.10 × 87,673.19
  4. Step 4: Simplify right side
    159,306.85x = 19,273,645,259.74
  5. Step 5: Solve for x
    x = 19,273,645,259.74/159,306.85
  6. Step 6: Final answer
    x = 120,984.41

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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.