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Finding the Fourth Proportional to 100,896.98, 139,247.66 and 75,359.01

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Solution

The fourth proportional to 100,896.98, 139,247.66 and 75,359.01 is: 104,002.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,896.98 : 139,247.66 = 75,359.01 : x
  2. Step 2: Convert to fraction form
    100,896.98/139,247.66 = 75,359.01/x
  3. Step 3: Cross multiply
    100,896.98x = 139,247.66 × 75,359.01
  4. Step 4: Simplify right side
    100,896.98x = 10,493,565,990.81
  5. Step 5: Solve for x
    x = 10,493,565,990.81/100,896.98
  6. Step 6: Final answer
    x = 104,002.77

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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.