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Finding the Fourth Proportional to 100,997.76, 139,377.60 and 56,288.64

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Solution

The fourth proportional to 100,997.76, 139,377.60 and 56,288.64 is: 77,678.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,997.76 : 139,377.60 = 56,288.64 : x
  2. Step 2: Convert to fraction form
    100,997.76/139,377.60 = 56,288.64/x
  3. Step 3: Cross multiply
    100,997.76x = 139,377.60 × 56,288.64
  4. Step 4: Simplify right side
    100,997.76x = 7,845,375,550.46
  5. Step 5: Solve for x
    x = 7,845,375,550.46/100,997.76
  6. Step 6: Final answer
    x = 77,678.71

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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.