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Finding the Fourth Proportional to 172,864, 259,339.76 and 48,205

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Solution

The fourth proportional to 172,864, 259,339.76 and 48,205 is: 72,319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,864 : 259,339.76 = 48,205 : x
  2. Step 2: Convert to fraction form
    172,864/259,339.76 = 48,205/x
  3. Step 3: Cross multiply
    172,864x = 259,339.76 × 48,205
  4. Step 4: Simplify right side
    172,864x = 12,501,473,130.80
  5. Step 5: Solve for x
    x = 12,501,473,130.80/172,864
  6. Step 6: Final answer
    x = 72,319.70

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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.