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Finding the Fourth Proportional to 82,157.19, 113,274.19 and 68,564.78

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Solution

The fourth proportional to 82,157.19, 113,274.19 and 68,564.78 is: 94,533.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,157.19 : 113,274.19 = 68,564.78 : x
  2. Step 2: Convert to fraction form
    82,157.19/113,274.19 = 68,564.78/x
  3. Step 3: Cross multiply
    82,157.19x = 113,274.19 × 68,564.78
  4. Step 4: Simplify right side
    82,157.19x = 7,766,619,574.20
  5. Step 5: Solve for x
    x = 7,766,619,574.20/82,157.19
  6. Step 6: Final answer
    x = 94,533.66

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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.