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Finding the Fourth Proportional to 225,228.88, 310,680.78 and 148,748.12

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Solution

The fourth proportional to 225,228.88, 310,680.78 and 148,748.12 is: 205,183.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,228.88 : 310,680.78 = 148,748.12 : x
  2. Step 2: Convert to fraction form
    225,228.88/310,680.78 = 148,748.12/x
  3. Step 3: Cross multiply
    225,228.88x = 310,680.78 × 148,748.12
  4. Step 4: Simplify right side
    225,228.88x = 46,213,182,081.94
  5. Step 5: Solve for x
    x = 46,213,182,081.94/225,228.88
  6. Step 6: Final answer
    x = 205,183.20

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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.