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Finding the Fourth Proportional to 210,841.92, 290,956.86 and 115,349.40

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Solution

The fourth proportional to 210,841.92, 290,956.86 and 115,349.40 is: 159,179.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,841.92 : 290,956.86 = 115,349.40 : x
  2. Step 2: Convert to fraction form
    210,841.92/290,956.86 = 115,349.40/x
  3. Step 3: Cross multiply
    210,841.92x = 290,956.86 × 115,349.40
  4. Step 4: Simplify right side
    210,841.92x = 33,561,699,226.88
  5. Step 5: Solve for x
    x = 33,561,699,226.88/210,841.92
  6. Step 6: Final answer
    x = 159,179.44

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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.