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Finding the Fourth Proportional to 138,527.48, 207,825.78 and 55,419.32

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Solution

The fourth proportional to 138,527.48, 207,825.78 and 55,419.32 is: 83,142.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,527.48 : 207,825.78 = 55,419.32 : x
  2. Step 2: Convert to fraction form
    138,527.48/207,825.78 = 55,419.32/x
  3. Step 3: Cross multiply
    138,527.48x = 207,825.78 × 55,419.32
  4. Step 4: Simplify right side
    138,527.48x = 11,517,563,406.07
  5. Step 5: Solve for x
    x = 11,517,563,406.07/138,527.48
  6. Step 6: Final answer
    x = 83,142.81

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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.