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Finding the Fourth Proportional to 172,152.60, 258,243.78 and 47,493.60

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Solution

The fourth proportional to 172,152.60, 258,243.78 and 47,493.60 is: 71,244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,152.60 : 258,243.78 = 47,493.60 : x
  2. Step 2: Convert to fraction form
    172,152.60/258,243.78 = 47,493.60/x
  3. Step 3: Cross multiply
    172,152.60x = 258,243.78 × 47,493.60
  4. Step 4: Simplify right side
    172,152.60x = 12,264,926,789.81
  5. Step 5: Solve for x
    x = 12,264,926,789.81/172,152.60
  6. Step 6: Final answer
    x = 71,244.51

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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.