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Finding the Fourth Proportional to 210,697.34, 290,762.42 and 115,204.82

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Solution

The fourth proportional to 210,697.34, 290,762.42 and 115,204.82 is: 158,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,697.34 : 290,762.42 = 115,204.82 : x
  2. Step 2: Convert to fraction form
    210,697.34/290,762.42 = 115,204.82/x
  3. Step 3: Cross multiply
    210,697.34x = 290,762.42 × 115,204.82
  4. Step 4: Simplify right side
    210,697.34x = 33,497,230,229.03
  5. Step 5: Solve for x
    x = 33,497,230,229.03/210,697.34
  6. Step 6: Final answer
    x = 158,982.70

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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.