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Finding the Fourth Proportional to 70,682, 97,542.28 and 40,467.20

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Solution

The fourth proportional to 70,682, 97,542.28 and 40,467.20 is: 55,845.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,682 : 97,542.28 = 40,467.20 : x
  2. Step 2: Convert to fraction form
    70,682/97,542.28 = 40,467.20/x
  3. Step 3: Cross multiply
    70,682x = 97,542.28 × 40,467.20
  4. Step 4: Simplify right side
    70,682x = 3,947,262,953.22
  5. Step 5: Solve for x
    x = 3,947,262,953.22/70,682
  6. Step 6: Final answer
    x = 55,845.38

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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.