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Finding the Fourth Proportional to 65,206.80, 97,776.72 and 31,876.56

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Solution

The fourth proportional to 65,206.80, 97,776.72 and 31,876.56 is: 47,798.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,206.80 : 97,776.72 = 31,876.56 : x
  2. Step 2: Convert to fraction form
    65,206.80/97,776.72 = 31,876.56/x
  3. Step 3: Cross multiply
    65,206.80x = 97,776.72 × 31,876.56
  4. Step 4: Simplify right side
    65,206.80x = 3,116,785,481.68
  5. Step 5: Solve for x
    x = 3,116,785,481.68/65,206.80
  6. Step 6: Final answer
    x = 47,798.47

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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.