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Finding the Fourth Proportional to 214,990.52, 296,819.70 and 138,536.60

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Solution

The fourth proportional to 214,990.52, 296,819.70 and 138,536.60 is: 191,266.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,990.52 : 296,819.70 = 138,536.60 : x
  2. Step 2: Convert to fraction form
    214,990.52/296,819.70 = 138,536.60/x
  3. Step 3: Cross multiply
    214,990.52x = 296,819.70 × 138,536.60
  4. Step 4: Simplify right side
    214,990.52x = 41,120,392,051.02
  5. Step 5: Solve for x
    x = 41,120,392,051.02/214,990.52
  6. Step 6: Final answer
    x = 191,266.07

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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.