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Finding the Fourth Proportional to 210,171, 289,996.30 and 125,295.96

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Solution

The fourth proportional to 210,171, 289,996.30 and 125,295.96 is: 172,884.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,171 : 289,996.30 = 125,295.96 : x
  2. Step 2: Convert to fraction form
    210,171/289,996.30 = 125,295.96/x
  3. Step 3: Cross multiply
    210,171x = 289,996.30 × 125,295.96
  4. Step 4: Simplify right side
    210,171x = 36,335,364,804.95
  5. Step 5: Solve for x
    x = 36,335,364,804.95/210,171
  6. Step 6: Final answer
    x = 172,884.77

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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.