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Finding the Fourth Proportional to 210,134, 289,945.32 and 125,258.96

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Solution

The fourth proportional to 210,134, 289,945.32 and 125,258.96 is: 172,833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,134 : 289,945.32 = 125,258.96 : x
  2. Step 2: Convert to fraction form
    210,134/289,945.32 = 125,258.96/x
  3. Step 3: Cross multiply
    210,134x = 289,945.32 × 125,258.96
  4. Step 4: Simplify right side
    210,134x = 36,318,249,240.07
  5. Step 5: Solve for x
    x = 36,318,249,240.07/210,134
  6. Step 6: Final answer
    x = 172,833.76

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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.