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Finding the Fourth Proportional to 140,974.68, 194,491.68 and 89,989.32

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Solution

The fourth proportional to 140,974.68, 194,491.68 and 89,989.32 is: 124,151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,974.68 : 194,491.68 = 89,989.32 : x
  2. Step 2: Convert to fraction form
    140,974.68/194,491.68 = 89,989.32/x
  3. Step 3: Cross multiply
    140,974.68x = 194,491.68 × 89,989.32
  4. Step 4: Simplify right side
    140,974.68x = 17,502,174,028.86
  5. Step 5: Solve for x
    x = 17,502,174,028.86/140,974.68
  6. Step 6: Final answer
    x = 124,151.19

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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.