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Finding the Fourth Proportional to 210,202.20, 290,079.84 and 114,711

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Solution

The fourth proportional to 210,202.20, 290,079.84 and 114,711 is: 158,301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,202.20 : 290,079.84 = 114,711 : x
  2. Step 2: Convert to fraction form
    210,202.20/290,079.84 = 114,711/x
  3. Step 3: Cross multiply
    210,202.20x = 290,079.84 × 114,711
  4. Step 4: Simplify right side
    210,202.20x = 33,275,348,526.24
  5. Step 5: Solve for x
    x = 33,275,348,526.24/210,202.20
  6. Step 6: Final answer
    x = 158,301.62

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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.