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Finding the Fourth Proportional to 100,990, 139,366.20 and 56,278

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Solution

The fourth proportional to 100,990, 139,366.20 and 56,278 is: 77,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,990 : 139,366.20 = 56,278 : x
  2. Step 2: Convert to fraction form
    100,990/139,366.20 = 56,278/x
  3. Step 3: Cross multiply
    100,990x = 139,366.20 × 56,278
  4. Step 4: Simplify right side
    100,990x = 7,843,251,003.60
  5. Step 5: Solve for x
    x = 7,843,251,003.60/100,990
  6. Step 6: Final answer
    x = 77,663.64

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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.