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Finding the Fourth Proportional to 253,565.91, 349,961.49 and 144,705.60

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Solution

The fourth proportional to 253,565.91, 349,961.49 and 144,705.60 is: 199,716.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,565.91 : 349,961.49 = 144,705.60 : x
  2. Step 2: Convert to fraction form
    253,565.91/349,961.49 = 144,705.60/x
  3. Step 3: Cross multiply
    253,565.91x = 349,961.49 × 144,705.60
  4. Step 4: Simplify right side
    253,565.91x = 50,641,387,387.34
  5. Step 5: Solve for x
    x = 50,641,387,387.34/253,565.91
  6. Step 6: Final answer
    x = 199,716.86

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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.