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Finding the Fourth Proportional to 65,275.50, 97,899.51 and 31,962

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Solution

The fourth proportional to 65,275.50, 97,899.51 and 31,962 is: 47,936.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,275.50 : 97,899.51 = 31,962 : x
  2. Step 2: Convert to fraction form
    65,275.50/97,899.51 = 31,962/x
  3. Step 3: Cross multiply
    65,275.50x = 97,899.51 × 31,962
  4. Step 4: Simplify right side
    65,275.50x = 3,129,064,138.62
  5. Step 5: Solve for x
    x = 3,129,064,138.62/65,275.50
  6. Step 6: Final answer
    x = 47,936.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.