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Finding the Fourth Proportional to 57,447, 86,170.50 and 15,894

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Solution

The fourth proportional to 57,447, 86,170.50 and 15,894 is: 23,841

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,447 : 86,170.50 = 15,894 : x
  2. Step 2: Convert to fraction form
    57,447/86,170.50 = 15,894/x
  3. Step 3: Cross multiply
    57,447x = 86,170.50 × 15,894
  4. Step 4: Simplify right side
    57,447x = 1,369,593,927
  5. Step 5: Solve for x
    x = 1,369,593,927/57,447
  6. Step 6: Final answer
    x = 23,841

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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.