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Finding the Fourth Proportional to 73,945, 102,044.70 and 40,411

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Solution

The fourth proportional to 73,945, 102,044.70 and 40,411 is: 55,767.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,945 : 102,044.70 = 40,411 : x
  2. Step 2: Convert to fraction form
    73,945/102,044.70 = 40,411/x
  3. Step 3: Cross multiply
    73,945x = 102,044.70 × 40,411
  4. Step 4: Simplify right side
    73,945x = 4,123,728,371.70
  5. Step 5: Solve for x
    x = 4,123,728,371.70/73,945
  6. Step 6: Final answer
    x = 55,767.51

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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.