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Finding the Fourth Proportional to 172,437, 258,655.50 and 47,778

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Solution

The fourth proportional to 172,437, 258,655.50 and 47,778 is: 71,667

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,437 : 258,655.50 = 47,778 : x
  2. Step 2: Convert to fraction form
    172,437/258,655.50 = 47,778/x
  3. Step 3: Cross multiply
    172,437x = 258,655.50 × 47,778
  4. Step 4: Simplify right side
    172,437x = 12,358,042,479
  5. Step 5: Solve for x
    x = 12,358,042,479/172,437
  6. Step 6: Final answer
    x = 71,667

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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.