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Finding the Fourth Proportional to 65,201.70, 97,867.35 and 31,959.30

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Solution

The fourth proportional to 65,201.70, 97,867.35 and 31,959.30 is: 47,970.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,201.70 : 97,867.35 = 31,959.30 : x
  2. Step 2: Convert to fraction form
    65,201.70/97,867.35 = 31,959.30/x
  3. Step 3: Cross multiply
    65,201.70x = 97,867.35 × 31,959.30
  4. Step 4: Simplify right side
    65,201.70x = 3,127,771,998.86
  5. Step 5: Solve for x
    x = 3,127,771,998.86/65,201.70
  6. Step 6: Final answer
    x = 47,970.71

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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.