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Finding the Fourth Proportional to 54,652.51, 81,978.77 and 15,212.70

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Solution

The fourth proportional to 54,652.51, 81,978.77 and 15,212.70 is: 22,819.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,652.51 : 81,978.77 = 15,212.70 : x
  2. Step 2: Convert to fraction form
    54,652.51/81,978.77 = 15,212.70/x
  3. Step 3: Cross multiply
    54,652.51x = 81,978.77 × 15,212.70
  4. Step 4: Simplify right side
    54,652.51x = 1,247,118,358.32
  5. Step 5: Solve for x
    x = 1,247,118,358.32/54,652.51
  6. Step 6: Final answer
    x = 22,819.05

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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.