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Finding the Fourth Proportional to 210,643.56, 290,647.89 and 119,997.54

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Solution

The fourth proportional to 210,643.56, 290,647.89 and 119,997.54 is: 165,573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,643.56 : 290,647.89 = 119,997.54 : x
  2. Step 2: Convert to fraction form
    210,643.56/290,647.89 = 119,997.54/x
  3. Step 3: Cross multiply
    210,643.56x = 290,647.89 × 119,997.54
  4. Step 4: Simplify right side
    210,643.56x = 34,877,031,806.19
  5. Step 5: Solve for x
    x = 34,877,031,806.19/210,643.56
  6. Step 6: Final answer
    x = 165,573.69

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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.