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Finding the Fourth Proportional to 137,813.28, 206,719.44 and 49,070.16

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Solution

The fourth proportional to 137,813.28, 206,719.44 and 49,070.16 is: 73,605.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,813.28 : 206,719.44 = 49,070.16 : x
  2. Step 2: Convert to fraction form
    137,813.28/206,719.44 = 49,070.16/x
  3. Step 3: Cross multiply
    137,813.28x = 206,719.44 × 49,070.16
  4. Step 4: Simplify right side
    137,813.28x = 10,143,755,995.91
  5. Step 5: Solve for x
    x = 10,143,755,995.91/137,813.28
  6. Step 6: Final answer
    x = 73,605.07

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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.