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Finding the Fourth Proportional to 210,294.99, 290,181.56 and 119,662.47

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Solution

The fourth proportional to 210,294.99, 290,181.56 and 119,662.47 is: 165,119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,294.99 : 290,181.56 = 119,662.47 : x
  2. Step 2: Convert to fraction form
    210,294.99/290,181.56 = 119,662.47/x
  3. Step 3: Cross multiply
    210,294.99x = 290,181.56 × 119,662.47
  4. Step 4: Simplify right side
    210,294.99x = 34,723,841,619.74
  5. Step 5: Solve for x
    x = 34,723,841,619.74/210,294.99
  6. Step 6: Final answer
    x = 165,119.68

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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.