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Finding the Fourth Proportional to 70,742.75, 97,625.81 and 38,911.88

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Solution

The fourth proportional to 70,742.75, 97,625.81 and 38,911.88 is: 53,698.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,742.75 : 97,625.81 = 38,911.88 : x
  2. Step 2: Convert to fraction form
    70,742.75/97,625.81 = 38,911.88/x
  3. Step 3: Cross multiply
    70,742.75x = 97,625.81 × 38,911.88
  4. Step 4: Simplify right side
    70,742.75x = 3,798,803,120.93
  5. Step 5: Solve for x
    x = 3,798,803,120.93/70,742.75
  6. Step 6: Final answer
    x = 53,698.84

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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.