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Finding the Fourth Proportional to 210,754.76, 290,753.28 and 138,175.07

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Solution

The fourth proportional to 210,754.76, 290,753.28 and 138,175.07 is: 190,623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,754.76 : 290,753.28 = 138,175.07 : x
  2. Step 2: Convert to fraction form
    210,754.76/290,753.28 = 138,175.07/x
  3. Step 3: Cross multiply
    210,754.76x = 290,753.28 × 138,175.07
  4. Step 4: Simplify right side
    210,754.76x = 40,174,853,362.96
  5. Step 5: Solve for x
    x = 40,174,853,362.96/210,754.76
  6. Step 6: Final answer
    x = 190,623.71

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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.