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Finding the Fourth Proportional to 23,531.32, 35,089.40 and 20,265.40

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Solution

The fourth proportional to 23,531.32, 35,089.40 and 20,265.40 is: 30,219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,531.32 : 35,089.40 = 20,265.40 : x
  2. Step 2: Convert to fraction form
    23,531.32/35,089.40 = 20,265.40/x
  3. Step 3: Cross multiply
    23,531.32x = 35,089.40 × 20,265.40
  4. Step 4: Simplify right side
    23,531.32x = 711,100,449.99
  5. Step 5: Solve for x
    x = 711,100,449.99/23,531.32
  6. Step 6: Final answer
    x = 30,219.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.