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Finding the Fourth Proportional to 54,419, 75,126.38 and 42,292.38

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Solution

The fourth proportional to 54,419, 75,126.38 and 42,292.38 is: 58,385.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,419 : 75,126.38 = 42,292.38 : x
  2. Step 2: Convert to fraction form
    54,419/75,126.38 = 42,292.38/x
  3. Step 3: Cross multiply
    54,419x = 75,126.38 × 42,292.38
  4. Step 4: Simplify right side
    54,419x = 3,177,273,410.98
  5. Step 5: Solve for x
    x = 3,177,273,410.98/54,419
  6. Step 6: Final answer
    x = 58,385.37

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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.