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Finding the Fourth Proportional to 159,099, 219,551 and 87,478.52

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Solution

The fourth proportional to 159,099, 219,551 and 87,478.52 is: 120,717.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,099 : 219,551 = 87,478.52 : x
  2. Step 2: Convert to fraction form
    159,099/219,551 = 87,478.52/x
  3. Step 3: Cross multiply
    159,099x = 219,551 × 87,478.52
  4. Step 4: Simplify right side
    159,099x = 19,205,996,544.52
  5. Step 5: Solve for x
    x = 19,205,996,544.52/159,099
  6. Step 6: Final answer
    x = 120,717.27

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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.