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Finding the Fourth Proportional to 210,297.49, 290,185 and 119,664.97

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Solution

The fourth proportional to 210,297.49, 290,185 and 119,664.97 is: 165,123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,297.49 : 290,185 = 119,664.97 : x
  2. Step 2: Convert to fraction form
    210,297.49/290,185 = 119,664.97/x
  3. Step 3: Cross multiply
    210,297.49x = 290,185 × 119,664.97
  4. Step 4: Simplify right side
    210,297.49x = 34,724,979,319.45
  5. Step 5: Solve for x
    x = 34,724,979,319.45/210,297.49
  6. Step 6: Final answer
    x = 165,123.13

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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.