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Finding the Fourth Proportional to 65,372, 90,214.80 and 35,564

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Solution

The fourth proportional to 65,372, 90,214.80 and 35,564 is: 49,079.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,372 : 90,214.80 = 35,564 : x
  2. Step 2: Convert to fraction form
    65,372/90,214.80 = 35,564/x
  3. Step 3: Cross multiply
    65,372x = 90,214.80 × 35,564
  4. Step 4: Simplify right side
    65,372x = 3,208,399,147.20
  5. Step 5: Solve for x
    x = 3,208,399,147.20/65,372
  6. Step 6: Final answer
    x = 49,079.10

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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.