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Finding the Fourth Proportional to 210,705.46, 290,773.65 and 115,212.94

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Solution

The fourth proportional to 210,705.46, 290,773.65 and 115,212.94 is: 158,993.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,705.46 : 290,773.65 = 115,212.94 : x
  2. Step 2: Convert to fraction form
    210,705.46/290,773.65 = 115,212.94/x
  3. Step 3: Cross multiply
    210,705.46x = 290,773.65 × 115,212.94
  4. Step 4: Simplify right side
    210,705.46x = 33,500,887,091.03
  5. Step 5: Solve for x
    x = 33,500,887,091.03/210,705.46
  6. Step 6: Final answer
    x = 158,993.92

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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.