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Finding the Fourth Proportional to 52,742.93, 79,105.86 and 19,478.66

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Solution

The fourth proportional to 52,742.93, 79,105.86 and 19,478.66 is: 29,214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,742.93 : 79,105.86 = 19,478.66 : x
  2. Step 2: Convert to fraction form
    52,742.93/79,105.86 = 19,478.66/x
  3. Step 3: Cross multiply
    52,742.93x = 79,105.86 × 19,478.66
  4. Step 4: Simplify right side
    52,742.93x = 1,540,875,755.42
  5. Step 5: Solve for x
    x = 1,540,875,755.42/52,742.93
  6. Step 6: Final answer
    x = 29,214.83

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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.