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Finding the Fourth Proportional to 210,397.50, 290,310.08 and 119,748.11

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Solution

The fourth proportional to 210,397.50, 290,310.08 and 119,748.11 is: 165,230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,397.50 : 290,310.08 = 119,748.11 : x
  2. Step 2: Convert to fraction form
    210,397.50/290,310.08 = 119,748.11/x
  3. Step 3: Cross multiply
    210,397.50x = 290,310.08 × 119,748.11
  4. Step 4: Simplify right side
    210,397.50x = 34,764,081,343.66
  5. Step 5: Solve for x
    x = 34,764,081,343.66/210,397.50
  6. Step 6: Final answer
    x = 165,230.49

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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.