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Finding the Fourth Proportional to 210,697.15, 290,743.47 and 120,049.66

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Solution

The fourth proportional to 210,697.15, 290,743.47 and 120,049.66 is: 165,657.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,697.15 : 290,743.47 = 120,049.66 : x
  2. Step 2: Convert to fraction form
    210,697.15/290,743.47 = 120,049.66/x
  3. Step 3: Cross multiply
    210,697.15x = 290,743.47 × 120,049.66
  4. Step 4: Simplify right side
    210,697.15x = 34,903,654,720.72
  5. Step 5: Solve for x
    x = 34,903,654,720.72/210,697.15
  6. Step 6: Final answer
    x = 165,657.93

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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.