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Finding the Fourth Proportional to 100,940, 139,302 and 56,228

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Solution

The fourth proportional to 100,940, 139,302 and 56,228 is: 77,597.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,940 : 139,302 = 56,228 : x
  2. Step 2: Convert to fraction form
    100,940/139,302 = 56,228/x
  3. Step 3: Cross multiply
    100,940x = 139,302 × 56,228
  4. Step 4: Simplify right side
    100,940x = 7,832,672,856
  5. Step 5: Solve for x
    x = 7,832,672,856/100,940
  6. Step 6: Final answer
    x = 77,597.31

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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.