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Finding the Fourth Proportional to 210,705.88, 290,784.92 and 115,211.56

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Solution

The fourth proportional to 210,705.88, 290,784.92 and 115,211.56 is: 158,997.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,705.88 : 290,784.92 = 115,211.56 : x
  2. Step 2: Convert to fraction form
    210,705.88/290,784.92 = 115,211.56/x
  3. Step 3: Cross multiply
    210,705.88x = 290,784.92 × 115,211.56
  4. Step 4: Simplify right side
    210,705.88x = 33,501,784,257.68
  5. Step 5: Solve for x
    x = 33,501,784,257.68/210,705.88
  6. Step 6: Final answer
    x = 158,997.86

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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.