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Finding the Fourth Proportional to 70,919.90, 97,842 and 40,694.30

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Solution

The fourth proportional to 70,919.90, 97,842 and 40,694.30 is: 56,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,919.90 : 97,842 = 40,694.30 : x
  2. Step 2: Convert to fraction form
    70,919.90/97,842 = 40,694.30/x
  3. Step 3: Cross multiply
    70,919.90x = 97,842 × 40,694.30
  4. Step 4: Simplify right side
    70,919.90x = 3,981,611,700.60
  5. Step 5: Solve for x
    x = 3,981,611,700.60/70,919.90
  6. Step 6: Final answer
    x = 56,142.38

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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.