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Finding the Fourth Proportional to 65,471, 90,350 and 35,663

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Solution

The fourth proportional to 65,471, 90,350 and 35,663 is: 49,214.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,471 : 90,350 = 35,663 : x
  2. Step 2: Convert to fraction form
    65,471/90,350 = 35,663/x
  3. Step 3: Cross multiply
    65,471x = 90,350 × 35,663
  4. Step 4: Simplify right side
    65,471x = 3,222,152,050
  5. Step 5: Solve for x
    x = 3,222,152,050/65,471
  6. Step 6: Final answer
    x = 49,214.95

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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.