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Finding the Fourth Proportional to 218,145.92, 300,940.32 and 127,505.70

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Solution

The fourth proportional to 218,145.92, 300,940.32 and 127,505.70 is: 175,898.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,145.92 : 300,940.32 = 127,505.70 : x
  2. Step 2: Convert to fraction form
    218,145.92/300,940.32 = 127,505.70/x
  3. Step 3: Cross multiply
    218,145.92x = 300,940.32 × 127,505.70
  4. Step 4: Simplify right side
    218,145.92x = 38,371,605,522.30
  5. Step 5: Solve for x
    x = 38,371,605,522.30/218,145.92
  6. Step 6: Final answer
    x = 175,898.80

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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.