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Finding the Fourth Proportional to 70,180, 96,848.40 and 40,372

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Solution

The fourth proportional to 70,180, 96,848.40 and 40,372 is: 55,713.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,180 : 96,848.40 = 40,372 : x
  2. Step 2: Convert to fraction form
    70,180/96,848.40 = 40,372/x
  3. Step 3: Cross multiply
    70,180x = 96,848.40 × 40,372
  4. Step 4: Simplify right side
    70,180x = 3,909,963,604.80
  5. Step 5: Solve for x
    x = 3,909,963,604.80/70,180
  6. Step 6: Final answer
    x = 55,713.36

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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.