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Finding the Fourth Proportional to 165,742.50, 248,613.78 and 54,934.50

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Solution

The fourth proportional to 165,742.50, 248,613.78 and 54,934.50 is: 82,401.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,742.50 : 248,613.78 = 54,934.50 : x
  2. Step 2: Convert to fraction form
    165,742.50/248,613.78 = 54,934.50/x
  3. Step 3: Cross multiply
    165,742.50x = 248,613.78 × 54,934.50
  4. Step 4: Simplify right side
    165,742.50x = 13,657,473,697.41
  5. Step 5: Solve for x
    x = 13,657,473,697.41/165,742.50
  6. Step 6: Final answer
    x = 82,401.76

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