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Finding the Fourth Proportional to 97,238, 145,857 and 31,574

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Solution

The fourth proportional to 97,238, 145,857 and 31,574 is: 47,361

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,238 : 145,857 = 31,574 : x
  2. Step 2: Convert to fraction form
    97,238/145,857 = 31,574/x
  3. Step 3: Cross multiply
    97,238x = 145,857 × 31,574
  4. Step 4: Simplify right side
    97,238x = 4,605,288,918
  5. Step 5: Solve for x
    x = 4,605,288,918/97,238
  6. Step 6: Final answer
    x = 47,361

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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.