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Finding the Fourth Proportional to 210,297.99, 290,185.70 and 119,665.47

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Solution

The fourth proportional to 210,297.99, 290,185.70 and 119,665.47 is: 165,123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,297.99 : 290,185.70 = 119,665.47 : x
  2. Step 2: Convert to fraction form
    210,297.99/290,185.70 = 119,665.47/x
  3. Step 3: Cross multiply
    210,297.99x = 290,185.70 × 119,665.47
  4. Step 4: Simplify right side
    210,297.99x = 34,725,207,579.45
  5. Step 5: Solve for x
    x = 34,725,207,579.45/210,297.99
  6. Step 6: Final answer
    x = 165,123.82

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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.