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Finding the Fourth Proportional to 100,002.33, 137,998.38 and 56,991.90

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Solution

The fourth proportional to 100,002.33, 137,998.38 and 56,991.90 is: 78,646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,002.33 : 137,998.38 = 56,991.90 : x
  2. Step 2: Convert to fraction form
    100,002.33/137,998.38 = 56,991.90/x
  3. Step 3: Cross multiply
    100,002.33x = 137,998.38 × 56,991.90
  4. Step 4: Simplify right side
    100,002.33x = 7,864,789,873.12
  5. Step 5: Solve for x
    x = 7,864,789,873.12/100,002.33
  6. Step 6: Final answer
    x = 78,646.07

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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.