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Finding the Fourth Proportional to 172,402.17, 258,603.28 and 47,743.17

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Solution

The fourth proportional to 172,402.17, 258,603.28 and 47,743.17 is: 71,614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,402.17 : 258,603.28 = 47,743.17 : x
  2. Step 2: Convert to fraction form
    172,402.17/258,603.28 = 47,743.17/x
  3. Step 3: Cross multiply
    172,402.17x = 258,603.28 × 47,743.17
  4. Step 4: Simplify right side
    172,402.17x = 12,346,540,993.68
  5. Step 5: Solve for x
    x = 12,346,540,993.68/172,402.17
  6. Step 6: Final answer
    x = 71,614.76

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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.