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Finding the Fourth Proportional to 172,932.84, 259,400.48 and 54,613.71

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Solution

The fourth proportional to 172,932.84, 259,400.48 and 54,613.71 is: 81,920.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,932.84 : 259,400.48 = 54,613.71 : x
  2. Step 2: Convert to fraction form
    172,932.84/259,400.48 = 54,613.71/x
  3. Step 3: Cross multiply
    172,932.84x = 259,400.48 × 54,613.71
  4. Step 4: Simplify right side
    172,932.84x = 14,166,822,315.51
  5. Step 5: Solve for x
    x = 14,166,822,315.51/172,932.84
  6. Step 6: Final answer
    x = 81,920.95

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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.