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Finding the Fourth Proportional to 47,230.20, 65,143.98 and 30,447

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Solution

The fourth proportional to 47,230.20, 65,143.98 and 30,447 is: 41,995.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,230.20 : 65,143.98 = 30,447 : x
  2. Step 2: Convert to fraction form
    47,230.20/65,143.98 = 30,447/x
  3. Step 3: Cross multiply
    47,230.20x = 65,143.98 × 30,447
  4. Step 4: Simplify right side
    47,230.20x = 1,983,438,759.06
  5. Step 5: Solve for x
    x = 1,983,438,759.06/47,230.20
  6. Step 6: Final answer
    x = 41,995.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.