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Finding the Fourth Proportional to 91,969.50, 137,989.28 and 32,004.64

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Solution

The fourth proportional to 91,969.50, 137,989.28 and 32,004.64 is: 48,019.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,969.50 : 137,989.28 = 32,004.64 : x
  2. Step 2: Convert to fraction form
    91,969.50/137,989.28 = 32,004.64/x
  3. Step 3: Cross multiply
    91,969.50x = 137,989.28 × 32,004.64
  4. Step 4: Simplify right side
    91,969.50x = 4,416,297,230.26
  5. Step 5: Solve for x
    x = 4,416,297,230.26/91,969.50
  6. Step 6: Final answer
    x = 48,019.15

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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.