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Finding the Fourth Proportional to 208,757.28, 313,192.38 and 148,861.40

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Solution

The fourth proportional to 208,757.28, 313,192.38 and 148,861.40 is: 223,332.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,757.28 : 313,192.38 = 148,861.40 : x
  2. Step 2: Convert to fraction form
    208,757.28/313,192.38 = 148,861.40/x
  3. Step 3: Cross multiply
    208,757.28x = 313,192.38 × 148,861.40
  4. Step 4: Simplify right side
    208,757.28x = 46,622,256,156.13
  5. Step 5: Solve for x
    x = 46,622,256,156.13/208,757.28
  6. Step 6: Final answer
    x = 223,332.36

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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.