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Finding the Fourth Proportional to 70,500, 97,293.84 and 40,701.60

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Solution

The fourth proportional to 70,500, 97,293.84 and 40,701.60 is: 56,170.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,500 : 97,293.84 = 40,701.60 : x
  2. Step 2: Convert to fraction form
    70,500/97,293.84 = 40,701.60/x
  3. Step 3: Cross multiply
    70,500x = 97,293.84 × 40,701.60
  4. Step 4: Simplify right side
    70,500x = 3,960,014,958.14
  5. Step 5: Solve for x
    x = 3,960,014,958.14/70,500
  6. Step 6: Final answer
    x = 56,170.42

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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.