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Finding the Fourth Proportional to 172,029.26, 258,043.90 and 53,710.74

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Solution

The fourth proportional to 172,029.26, 258,043.90 and 53,710.74 is: 80,566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,029.26 : 258,043.90 = 53,710.74 : x
  2. Step 2: Convert to fraction form
    172,029.26/258,043.90 = 53,710.74/x
  3. Step 3: Cross multiply
    172,029.26x = 258,043.90 × 53,710.74
  4. Step 4: Simplify right side
    172,029.26x = 13,859,728,552.93
  5. Step 5: Solve for x
    x = 13,859,728,552.93/172,029.26
  6. Step 6: Final answer
    x = 80,566.11

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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.