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Finding the Fourth Proportional to 210,691.28, 290,754.24 and 120,043.28

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Solution

The fourth proportional to 210,691.28, 290,754.24 and 120,043.28 is: 165,659.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,691.28 : 290,754.24 = 120,043.28 : x
  2. Step 2: Convert to fraction form
    210,691.28/290,754.24 = 120,043.28/x
  3. Step 3: Cross multiply
    210,691.28x = 290,754.24 × 120,043.28
  4. Step 4: Simplify right side
    210,691.28x = 34,903,092,643.51
  5. Step 5: Solve for x
    x = 34,903,092,643.51/210,691.28
  6. Step 6: Final answer
    x = 165,659.88

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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.