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Finding the Fourth Proportional to 172,415.56, 258,641.34 and 47,756.56

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Solution

The fourth proportional to 172,415.56, 258,641.34 and 47,756.56 is: 71,639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,415.56 : 258,641.34 = 47,756.56 : x
  2. Step 2: Convert to fraction form
    172,415.56/258,641.34 = 47,756.56/x
  3. Step 3: Cross multiply
    172,415.56x = 258,641.34 × 47,756.56
  4. Step 4: Simplify right side
    172,415.56x = 12,351,820,672.19
  5. Step 5: Solve for x
    x = 12,351,820,672.19/172,415.56
  6. Step 6: Final answer
    x = 71,639.83

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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.