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Finding the Fourth Proportional to 172,834, 259,351.80 and 72,988.24

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Solution

The fourth proportional to 172,834, 259,351.80 and 72,988.24 is: 109,524.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,834 : 259,351.80 = 72,988.24 : x
  2. Step 2: Convert to fraction form
    172,834/259,351.80 = 72,988.24/x
  3. Step 3: Cross multiply
    172,834x = 259,351.80 × 72,988.24
  4. Step 4: Simplify right side
    172,834x = 18,929,631,422.83
  5. Step 5: Solve for x
    x = 18,929,631,422.83/172,834
  6. Step 6: Final answer
    x = 109,524.93

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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.