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Finding the Fourth Proportional to 70,809.26, 97,716.76 and 38,978

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Solution

The fourth proportional to 70,809.26, 97,716.76 and 38,978 is: 53,789.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,809.26 : 97,716.76 = 38,978 : x
  2. Step 2: Convert to fraction form
    70,809.26/97,716.76 = 38,978/x
  3. Step 3: Cross multiply
    70,809.26x = 97,716.76 × 38,978
  4. Step 4: Simplify right side
    70,809.26x = 3,808,803,871.28
  5. Step 5: Solve for x
    x = 3,808,803,871.28/70,809.26
  6. Step 6: Final answer
    x = 53,789.63

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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.