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Finding the Fourth Proportional to 138,226.66, 207,216.56 and 53,967.22

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Solution

The fourth proportional to 138,226.66, 207,216.56 and 53,967.22 is: 80,902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,226.66 : 207,216.56 = 53,967.22 : x
  2. Step 2: Convert to fraction form
    138,226.66/207,216.56 = 53,967.22/x
  3. Step 3: Cross multiply
    138,226.66x = 207,216.56 × 53,967.22
  4. Step 4: Simplify right side
    138,226.66x = 11,182,901,681.16
  5. Step 5: Solve for x
    x = 11,182,901,681.16/138,226.66
  6. Step 6: Final answer
    x = 80,902.64

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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.