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Finding the Fourth Proportional to 210,104.86, 289,942.85 and 114,609.50

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Solution

The fourth proportional to 210,104.86, 289,942.85 and 114,609.50 is: 158,160.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,104.86 : 289,942.85 = 114,609.50 : x
  2. Step 2: Convert to fraction form
    210,104.86/289,942.85 = 114,609.50/x
  3. Step 3: Cross multiply
    210,104.86x = 289,942.85 × 114,609.50
  4. Step 4: Simplify right side
    210,104.86x = 33,230,205,067.08
  5. Step 5: Solve for x
    x = 33,230,205,067.08/210,104.86
  6. Step 6: Final answer
    x = 158,160.10

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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.