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Finding the Fourth Proportional to 210,538.80, 290,560.10 and 119,898.59

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Solution

The fourth proportional to 210,538.80, 290,560.10 and 119,898.59 is: 165,469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,538.80 : 290,560.10 = 119,898.59 : x
  2. Step 2: Convert to fraction form
    210,538.80/290,560.10 = 119,898.59/x
  3. Step 3: Cross multiply
    210,538.80x = 290,560.10 × 119,898.59
  4. Step 4: Simplify right side
    210,538.80x = 34,837,744,247.97
  5. Step 5: Solve for x
    x = 34,837,744,247.97/210,538.80
  6. Step 6: Final answer
    x = 165,469.47

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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.