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Finding the Fourth Proportional to 144,871.72, 199,934.05 and 91,202.74

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Solution

The fourth proportional to 144,871.72, 199,934.05 and 91,202.74 is: 125,866.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,871.72 : 199,934.05 = 91,202.74 : x
  2. Step 2: Convert to fraction form
    144,871.72/199,934.05 = 91,202.74/x
  3. Step 3: Cross multiply
    144,871.72x = 199,934.05 × 91,202.74
  4. Step 4: Simplify right side
    144,871.72x = 18,234,533,179.30
  5. Step 5: Solve for x
    x = 18,234,533,179.30/144,871.72
  6. Step 6: Final answer
    x = 125,866.75

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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.