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Finding the Fourth Proportional to 100,874, 139,210.44 and 56,162

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Solution

The fourth proportional to 100,874, 139,210.44 and 56,162 is: 77,505.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,874 : 139,210.44 = 56,162 : x
  2. Step 2: Convert to fraction form
    100,874/139,210.44 = 56,162/x
  3. Step 3: Cross multiply
    100,874x = 139,210.44 × 56,162
  4. Step 4: Simplify right side
    100,874x = 7,818,336,731.28
  5. Step 5: Solve for x
    x = 7,818,336,731.28/100,874
  6. Step 6: Final answer
    x = 77,505.97

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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.