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Finding the Fourth Proportional to 115,002, 172,503 and 31,896

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Solution

The fourth proportional to 115,002, 172,503 and 31,896 is: 47,844

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,002 : 172,503 = 31,896 : x
  2. Step 2: Convert to fraction form
    115,002/172,503 = 31,896/x
  3. Step 3: Cross multiply
    115,002x = 172,503 × 31,896
  4. Step 4: Simplify right side
    115,002x = 5,502,155,688
  5. Step 5: Solve for x
    x = 5,502,155,688/115,002
  6. Step 6: Final answer
    x = 47,844

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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.