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Finding the Fourth Proportional to 54,213.70, 81,212.55 and 47,719.30

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Solution

The fourth proportional to 54,213.70, 81,212.55 and 47,719.30 is: 71,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,213.70 : 81,212.55 = 47,719.30 : x
  2. Step 2: Convert to fraction form
    54,213.70/81,212.55 = 47,719.30/x
  3. Step 3: Cross multiply
    54,213.70x = 81,212.55 × 47,719.30
  4. Step 4: Simplify right side
    54,213.70x = 3,875,406,037.22
  5. Step 5: Solve for x
    x = 3,875,406,037.22/54,213.70
  6. Step 6: Final answer
    x = 71,483.89

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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.