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Finding the Fourth Proportional to 172,501, 258,751.50 and 47,842

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Solution

The fourth proportional to 172,501, 258,751.50 and 47,842 is: 71,763

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,501 : 258,751.50 = 47,842 : x
  2. Step 2: Convert to fraction form
    172,501/258,751.50 = 47,842/x
  3. Step 3: Cross multiply
    172,501x = 258,751.50 × 47,842
  4. Step 4: Simplify right side
    172,501x = 12,379,189,263
  5. Step 5: Solve for x
    x = 12,379,189,263/172,501
  6. Step 6: Final answer
    x = 71,763

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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.