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Finding the Fourth Proportional to 159,024.78, 219,449.78 and 87,404.78

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Solution

The fourth proportional to 159,024.78, 219,449.78 and 87,404.78 is: 120,616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,024.78 : 219,449.78 = 87,404.78 : x
  2. Step 2: Convert to fraction form
    159,024.78/219,449.78 = 87,404.78/x
  3. Step 3: Cross multiply
    159,024.78x = 219,449.78 × 87,404.78
  4. Step 4: Simplify right side
    159,024.78x = 19,180,959,741.95
  5. Step 5: Solve for x
    x = 19,180,959,741.95/159,024.78
  6. Step 6: Final answer
    x = 120,616.17

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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.