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Finding the Fourth Proportional to 225,931.64, 311,703.84 and 148,449.02

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Solution

The fourth proportional to 225,931.64, 311,703.84 and 148,449.02 is: 204,805.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,931.64 : 311,703.84 = 148,449.02 : x
  2. Step 2: Convert to fraction form
    225,931.64/311,703.84 = 148,449.02/x
  3. Step 3: Cross multiply
    225,931.64x = 311,703.84 × 148,449.02
  4. Step 4: Simplify right side
    225,931.64x = 46,272,128,019.72
  5. Step 5: Solve for x
    x = 46,272,128,019.72/225,931.64
  6. Step 6: Final answer
    x = 204,805.88

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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.