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Finding the Fourth Proportional to 172,239.36, 258,358.56 and 47,580

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Solution

The fourth proportional to 172,239.36, 258,358.56 and 47,580 is: 71,369.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,239.36 : 258,358.56 = 47,580 : x
  2. Step 2: Convert to fraction form
    172,239.36/258,358.56 = 47,580/x
  3. Step 3: Cross multiply
    172,239.36x = 258,358.56 × 47,580
  4. Step 4: Simplify right side
    172,239.36x = 12,292,700,284.80
  5. Step 5: Solve for x
    x = 12,292,700,284.80/172,239.36
  6. Step 6: Final answer
    x = 71,369.87

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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.