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Finding the Fourth Proportional to 172,314, 258,471 and 47,655

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Solution

The fourth proportional to 172,314, 258,471 and 47,655 is: 71,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,314 : 258,471 = 47,655 : x
  2. Step 2: Convert to fraction form
    172,314/258,471 = 47,655/x
  3. Step 3: Cross multiply
    172,314x = 258,471 × 47,655
  4. Step 4: Simplify right side
    172,314x = 12,317,435,505
  5. Step 5: Solve for x
    x = 12,317,435,505/172,314
  6. Step 6: Final answer
    x = 71,482.50

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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.