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Finding the Fourth Proportional to 172,871.20, 259,213.20 and 77,990.50

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Solution

The fourth proportional to 172,871.20, 259,213.20 and 77,990.50 is: 116,943.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,871.20 : 259,213.20 = 77,990.50 : x
  2. Step 2: Convert to fraction form
    172,871.20/259,213.20 = 77,990.50/x
  3. Step 3: Cross multiply
    172,871.20x = 259,213.20 × 77,990.50
  4. Step 4: Simplify right side
    172,871.20x = 20,216,167,074.60
  5. Step 5: Solve for x
    x = 20,216,167,074.60/172,871.20
  6. Step 6: Final answer
    x = 116,943.52

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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.