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Finding the Fourth Proportional to 210,265.54, 290,123.13 and 120,824.26

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Solution

The fourth proportional to 210,265.54, 290,123.13 and 120,824.26 is: 166,712.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,265.54 : 290,123.13 = 120,824.26 : x
  2. Step 2: Convert to fraction form
    210,265.54/290,123.13 = 120,824.26/x
  3. Step 3: Cross multiply
    210,265.54x = 290,123.13 × 120,824.26
  4. Step 4: Simplify right side
    210,265.54x = 35,053,912,491.13
  5. Step 5: Solve for x
    x = 35,053,912,491.13/210,265.54
  6. Step 6: Final answer
    x = 166,712.59

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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.