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Finding the Fourth Proportional to 82,796.40, 124,124.40 and 30,175.20

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Solution

The fourth proportional to 82,796.40, 124,124.40 and 30,175.20 is: 45,237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,796.40 : 124,124.40 = 30,175.20 : x
  2. Step 2: Convert to fraction form
    82,796.40/124,124.40 = 30,175.20/x
  3. Step 3: Cross multiply
    82,796.40x = 124,124.40 × 30,175.20
  4. Step 4: Simplify right side
    82,796.40x = 3,745,478,594.88
  5. Step 5: Solve for x
    x = 3,745,478,594.88/82,796.40
  6. Step 6: Final answer
    x = 45,237.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.