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Finding the Fourth Proportional to 65,651.96, 90,607.32 and 36,971.90

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Solution

The fourth proportional to 65,651.96, 90,607.32 and 36,971.90 is: 51,025.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,651.96 : 90,607.32 = 36,971.90 : x
  2. Step 2: Convert to fraction form
    65,651.96/90,607.32 = 36,971.90/x
  3. Step 3: Cross multiply
    65,651.96x = 90,607.32 × 36,971.90
  4. Step 4: Simplify right side
    65,651.96x = 3,349,924,774.31
  5. Step 5: Solve for x
    x = 3,349,924,774.31/65,651.96
  6. Step 6: Final answer
    x = 51,025.51

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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.