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Finding the Fourth Proportional to 172,964.30, 259,454.18 and 53,012.56

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Solution

The fourth proportional to 172,964.30, 259,454.18 and 53,012.56 is: 79,521.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,964.30 : 259,454.18 = 53,012.56 : x
  2. Step 2: Convert to fraction form
    172,964.30/259,454.18 = 53,012.56/x
  3. Step 3: Cross multiply
    172,964.30x = 259,454.18 × 53,012.56
  4. Step 4: Simplify right side
    172,964.30x = 13,754,330,284.50
  5. Step 5: Solve for x
    x = 13,754,330,284.50/172,964.30
  6. Step 6: Final answer
    x = 79,521.21

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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.