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Finding the Fourth Proportional to 172,884, 259,326 and 56,148

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Solution

The fourth proportional to 172,884, 259,326 and 56,148 is: 84,222

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,884 : 259,326 = 56,148 : x
  2. Step 2: Convert to fraction form
    172,884/259,326 = 56,148/x
  3. Step 3: Cross multiply
    172,884x = 259,326 × 56,148
  4. Step 4: Simplify right side
    172,884x = 14,560,636,248
  5. Step 5: Solve for x
    x = 14,560,636,248/172,884
  6. Step 6: Final answer
    x = 84,222

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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.