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Finding the Fourth Proportional to 70,508.10, 97,294.98 and 40,287.42

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Solution

The fourth proportional to 70,508.10, 97,294.98 and 40,287.42 is: 55,593.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,508.10 : 97,294.98 = 40,287.42 : x
  2. Step 2: Convert to fraction form
    70,508.10/97,294.98 = 40,287.42/x
  3. Step 3: Cross multiply
    70,508.10x = 97,294.98 × 40,287.42
  4. Step 4: Simplify right side
    70,508.10x = 3,919,763,723.15
  5. Step 5: Solve for x
    x = 3,919,763,723.15/70,508.10
  6. Step 6: Final answer
    x = 55,593.10

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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.