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Finding the Fourth Proportional to 172,942.80, 259,415.16 and 48,284.88

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Solution

The fourth proportional to 172,942.80, 259,415.16 and 48,284.88 is: 72,427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,942.80 : 259,415.16 = 48,284.88 : x
  2. Step 2: Convert to fraction form
    172,942.80/259,415.16 = 48,284.88/x
  3. Step 3: Cross multiply
    172,942.80x = 259,415.16 × 48,284.88
  4. Step 4: Simplify right side
    172,942.80x = 12,525,829,870.78
  5. Step 5: Solve for x
    x = 12,525,829,870.78/172,942.80
  6. Step 6: Final answer
    x = 72,427.59

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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.