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Finding the Fourth Proportional to 70,917.74, 106,376.95 and 20,998.77

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Solution

The fourth proportional to 70,917.74, 106,376.95 and 20,998.77 is: 31,498.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,917.74 : 106,376.95 = 20,998.77 : x
  2. Step 2: Convert to fraction form
    70,917.74/106,376.95 = 20,998.77/x
  3. Step 3: Cross multiply
    70,917.74x = 106,376.95 × 20,998.77
  4. Step 4: Simplify right side
    70,917.74x = 2,233,785,267.30
  5. Step 5: Solve for x
    x = 2,233,785,267.30/70,917.74
  6. Step 6: Final answer
    x = 31,498.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.