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Finding the Fourth Proportional to 210,137.92, 289,990 and 114,644.58

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Solution

The fourth proportional to 210,137.92, 289,990 and 114,644.58 is: 158,209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,137.92 : 289,990 = 114,644.58 : x
  2. Step 2: Convert to fraction form
    210,137.92/289,990 = 114,644.58/x
  3. Step 3: Cross multiply
    210,137.92x = 289,990 × 114,644.58
  4. Step 4: Simplify right side
    210,137.92x = 33,245,781,754.20
  5. Step 5: Solve for x
    x = 33,245,781,754.20/210,137.92
  6. Step 6: Final answer
    x = 158,209.34

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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.