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Finding the Fourth Proportional to 73,478, 101,399.40 and 39,943.76

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Solution

The fourth proportional to 73,478, 101,399.40 and 39,943.76 is: 55,122.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,478 : 101,399.40 = 39,943.76 : x
  2. Step 2: Convert to fraction form
    73,478/101,399.40 = 39,943.76/x
  3. Step 3: Cross multiply
    73,478x = 101,399.40 × 39,943.76
  4. Step 4: Simplify right side
    73,478x = 4,050,273,297.74
  5. Step 5: Solve for x
    x = 4,050,273,297.74/73,478
  6. Step 6: Final answer
    x = 55,122.26

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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.