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Finding the Fourth Proportional to 221,506.65, 305,572.86 and 144,992.07

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Solution

The fourth proportional to 221,506.65, 305,572.86 and 144,992.07 is: 200,019.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,506.65 : 305,572.86 = 144,992.07 : x
  2. Step 2: Convert to fraction form
    221,506.65/305,572.86 = 144,992.07/x
  3. Step 3: Cross multiply
    221,506.65x = 305,572.86 × 144,992.07
  4. Step 4: Simplify right side
    221,506.65x = 44,305,641,507.22
  5. Step 5: Solve for x
    x = 44,305,641,507.22/221,506.65
  6. Step 6: Final answer
    x = 200,019.46

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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.