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Finding the Fourth Proportional to 100,342.88, 138,474.74 and 55,025

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Solution

The fourth proportional to 100,342.88, 138,474.74 and 55,025 is: 75,935.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,342.88 : 138,474.74 = 55,025 : x
  2. Step 2: Convert to fraction form
    100,342.88/138,474.74 = 55,025/x
  3. Step 3: Cross multiply
    100,342.88x = 138,474.74 × 55,025
  4. Step 4: Simplify right side
    100,342.88x = 7,619,572,293.38
  5. Step 5: Solve for x
    x = 7,619,572,293.38/100,342.88
  6. Step 6: Final answer
    x = 75,935.36

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1.5x scale

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.