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Finding the Fourth Proportional to 172,804.80, 259,207.17 and 48,145.80

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Solution

The fourth proportional to 172,804.80, 259,207.17 and 48,145.80 is: 72,218.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,804.80 : 259,207.17 = 48,145.80 : x
  2. Step 2: Convert to fraction form
    172,804.80/259,207.17 = 48,145.80/x
  3. Step 3: Cross multiply
    172,804.80x = 259,207.17 × 48,145.80
  4. Step 4: Simplify right side
    172,804.80x = 12,479,736,565.39
  5. Step 5: Solve for x
    x = 12,479,736,565.39/172,804.80
  6. Step 6: Final answer
    x = 72,218.69

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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.