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Finding the Fourth Proportional to 172,878.21, 259,352.55 and 98,031.78

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Solution

The fourth proportional to 172,878.21, 259,352.55 and 98,031.78 is: 147,067.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,878.21 : 259,352.55 = 98,031.78 : x
  2. Step 2: Convert to fraction form
    172,878.21/259,352.55 = 98,031.78/x
  3. Step 3: Cross multiply
    172,878.21x = 259,352.55 × 98,031.78
  4. Step 4: Simplify right side
    172,878.21x = 25,424,792,124.04
  5. Step 5: Solve for x
    x = 25,424,792,124.04/172,878.21
  6. Step 6: Final answer
    x = 147,067.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.