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Finding the Fourth Proportional to 57,380.32, 86,051.04 and 21,833.20

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Solution

The fourth proportional to 57,380.32, 86,051.04 and 21,833.20 is: 32,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,380.32 : 86,051.04 = 21,833.20 : x
  2. Step 2: Convert to fraction form
    57,380.32/86,051.04 = 21,833.20/x
  3. Step 3: Cross multiply
    57,380.32x = 86,051.04 × 21,833.20
  4. Step 4: Simplify right side
    57,380.32x = 1,878,769,566.53
  5. Step 5: Solve for x
    x = 1,878,769,566.53/57,380.32
  6. Step 6: Final answer
    x = 32,742.40

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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.