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Finding the Fourth Proportional to 225,235.53, 310,815.70 and 123,258.42

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Solution

The fourth proportional to 225,235.53, 310,815.70 and 123,258.42 is: 170,091.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,235.53 : 310,815.70 = 123,258.42 : x
  2. Step 2: Convert to fraction form
    225,235.53/310,815.70 = 123,258.42/x
  3. Step 3: Cross multiply
    225,235.53x = 310,815.70 × 123,258.42
  4. Step 4: Simplify right side
    225,235.53x = 38,310,651,785.05
  5. Step 5: Solve for x
    x = 38,310,651,785.05/225,235.53
  6. Step 6: Final answer
    x = 170,091.51

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1.5x scale

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.