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Finding the Fourth Proportional to 138,524.30, 207,268.04 and 91,868.30

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Solution

The fourth proportional to 138,524.30, 207,268.04 and 91,868.30 is: 137,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,524.30 : 207,268.04 = 91,868.30 : x
  2. Step 2: Convert to fraction form
    138,524.30/207,268.04 = 91,868.30/x
  3. Step 3: Cross multiply
    138,524.30x = 207,268.04 × 91,868.30
  4. Step 4: Simplify right side
    138,524.30x = 19,041,362,479.13
  5. Step 5: Solve for x
    x = 19,041,362,479.13/138,524.30
  6. Step 6: Final answer
    x = 137,458.64

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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.