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Finding the Fourth Proportional to 73,713, 101,724.12 and 40,179

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Solution

The fourth proportional to 73,713, 101,724.12 and 40,179 is: 55,447.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,713 : 101,724.12 = 40,179 : x
  2. Step 2: Convert to fraction form
    73,713/101,724.12 = 40,179/x
  3. Step 3: Cross multiply
    73,713x = 101,724.12 × 40,179
  4. Step 4: Simplify right side
    73,713x = 4,087,173,417.48
  5. Step 5: Solve for x
    x = 4,087,173,417.48/73,713
  6. Step 6: Final answer
    x = 55,447.12

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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.