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Finding the Fourth Proportional to 224,414.28, 309,803.94 and 139,558.68

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Solution

The fourth proportional to 224,414.28, 309,803.94 and 139,558.68 is: 192,660.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,414.28 : 309,803.94 = 139,558.68 : x
  2. Step 2: Convert to fraction form
    224,414.28/309,803.94 = 139,558.68/x
  3. Step 3: Cross multiply
    224,414.28x = 309,803.94 × 139,558.68
  4. Step 4: Simplify right side
    224,414.28x = 43,235,828,925.20
  5. Step 5: Solve for x
    x = 43,235,828,925.20/224,414.28
  6. Step 6: Final answer
    x = 192,660.77

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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.