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Finding the Fourth Proportional to 69,820.53, 96,354.18 and 37,991.40

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Solution

The fourth proportional to 69,820.53, 96,354.18 and 37,991.40 is: 52,429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,820.53 : 96,354.18 = 37,991.40 : x
  2. Step 2: Convert to fraction form
    69,820.53/96,354.18 = 37,991.40/x
  3. Step 3: Cross multiply
    69,820.53x = 96,354.18 × 37,991.40
  4. Step 4: Simplify right side
    69,820.53x = 3,660,630,194.05
  5. Step 5: Solve for x
    x = 3,660,630,194.05/69,820.53
  6. Step 6: Final answer
    x = 52,429.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.