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Finding the Fourth Proportional to 65,851, 90,874.74 and 36,043

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Solution

The fourth proportional to 65,851, 90,874.74 and 36,043 is: 49,739.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,851 : 90,874.74 = 36,043 : x
  2. Step 2: Convert to fraction form
    65,851/90,874.74 = 36,043/x
  3. Step 3: Cross multiply
    65,851x = 90,874.74 × 36,043
  4. Step 4: Simplify right side
    65,851x = 3,275,398,253.82
  5. Step 5: Solve for x
    x = 3,275,398,253.82/65,851
  6. Step 6: Final answer
    x = 49,739.54

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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.