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Finding the Fourth Proportional to 67,007.86, 100,380.40 and 38,868.81

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Solution

The fourth proportional to 67,007.86, 100,380.40 and 38,868.81 is: 58,227.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,007.86 : 100,380.40 = 38,868.81 : x
  2. Step 2: Convert to fraction form
    67,007.86/100,380.40 = 38,868.81/x
  3. Step 3: Cross multiply
    67,007.86x = 100,380.40 × 38,868.81
  4. Step 4: Simplify right side
    67,007.86x = 3,901,666,695.32
  5. Step 5: Solve for x
    x = 3,901,666,695.32/67,007.86
  6. Step 6: Final answer
    x = 58,227.00

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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.