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Finding the Fourth Proportional to 225,229.88, 310,682.16 and 148,749.12

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Solution

The fourth proportional to 225,229.88, 310,682.16 and 148,749.12 is: 205,184.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,229.88 : 310,682.16 = 148,749.12 : x
  2. Step 2: Convert to fraction form
    225,229.88/310,682.16 = 148,749.12/x
  3. Step 3: Cross multiply
    225,229.88x = 310,682.16 × 148,749.12
  4. Step 4: Simplify right side
    225,229.88x = 46,213,697,899.70
  5. Step 5: Solve for x
    x = 46,213,697,899.70/225,229.88
  6. Step 6: Final answer
    x = 205,184.58

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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.