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Finding the Fourth Proportional to 159,161.58, 219,603.18 and 102,504.78

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Solution

The fourth proportional to 159,161.58, 219,603.18 and 102,504.78 is: 141,430.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,161.58 : 219,603.18 = 102,504.78 : x
  2. Step 2: Convert to fraction form
    159,161.58/219,603.18 = 102,504.78/x
  3. Step 3: Cross multiply
    159,161.58x = 219,603.18 × 102,504.78
  4. Step 4: Simplify right side
    159,161.58x = 22,510,375,653.20
  5. Step 5: Solve for x
    x = 22,510,375,653.20/159,161.58
  6. Step 6: Final answer
    x = 141,430.96

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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.