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Finding the Fourth Proportional to 214,301.76, 321,478.56 and 103,416

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Solution

The fourth proportional to 214,301.76, 321,478.56 and 103,416 is: 155,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,301.76 : 321,478.56 = 103,416 : x
  2. Step 2: Convert to fraction form
    214,301.76/321,478.56 = 103,416/x
  3. Step 3: Cross multiply
    214,301.76x = 321,478.56 × 103,416
  4. Step 4: Simplify right side
    214,301.76x = 33,246,026,760.96
  5. Step 5: Solve for x
    x = 33,246,026,760.96/214,301.76
  6. Step 6: Final answer
    x = 155,136.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.