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Finding the Fourth Proportional to 100,274.42, 138,372.69 and 54,943.38

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Solution

The fourth proportional to 100,274.42, 138,372.69 and 54,943.38 is: 75,818.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,274.42 : 138,372.69 = 54,943.38 : x
  2. Step 2: Convert to fraction form
    100,274.42/138,372.69 = 54,943.38/x
  3. Step 3: Cross multiply
    100,274.42x = 138,372.69 × 54,943.38
  4. Step 4: Simplify right side
    100,274.42x = 7,602,663,288.29
  5. Step 5: Solve for x
    x = 7,602,663,288.29/100,274.42
  6. Step 6: Final answer
    x = 75,818.57

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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.