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Finding the Fourth Proportional to 210,226, 290,118 and 114,738.80

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Solution

The fourth proportional to 210,226, 290,118 and 114,738.80 is: 158,342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,226 : 290,118 = 114,738.80 : x
  2. Step 2: Convert to fraction form
    210,226/290,118 = 114,738.80/x
  3. Step 3: Cross multiply
    210,226x = 290,118 × 114,738.80
  4. Step 4: Simplify right side
    210,226x = 33,287,791,178.40
  5. Step 5: Solve for x
    x = 33,287,791,178.40/210,226
  6. Step 6: Final answer
    x = 158,342.88

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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.