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Finding the Fourth Proportional to 70,470, 97,257.24 and 40,662

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Solution

The fourth proportional to 70,470, 97,257.24 and 40,662 is: 56,118.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,470 : 97,257.24 = 40,662 : x
  2. Step 2: Convert to fraction form
    70,470/97,257.24 = 40,662/x
  3. Step 3: Cross multiply
    70,470x = 97,257.24 × 40,662
  4. Step 4: Simplify right side
    70,470x = 3,954,673,892.88
  5. Step 5: Solve for x
    x = 3,954,673,892.88/70,470
  6. Step 6: Final answer
    x = 56,118.55

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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.