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Finding the Fourth Proportional to 210,940.16, 291,082.80 and 120,299.94

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Solution

The fourth proportional to 210,940.16, 291,082.80 and 120,299.94 is: 166,005.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,940.16 : 291,082.80 = 120,299.94 : x
  2. Step 2: Convert to fraction form
    210,940.16/291,082.80 = 120,299.94/x
  3. Step 3: Cross multiply
    210,940.16x = 291,082.80 × 120,299.94
  4. Step 4: Simplify right side
    210,940.16x = 35,017,243,375.03
  5. Step 5: Solve for x
    x = 35,017,243,375.03/210,940.16
  6. Step 6: Final answer
    x = 166,005.58

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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.