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Finding the Fourth Proportional to 91,438.40, 137,071.20 and 54,027.20

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Solution

The fourth proportional to 91,438.40, 137,071.20 and 54,027.20 is: 80,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,438.40 : 137,071.20 = 54,027.20 : x
  2. Step 2: Convert to fraction form
    91,438.40/137,071.20 = 54,027.20/x
  3. Step 3: Cross multiply
    91,438.40x = 137,071.20 × 54,027.20
  4. Step 4: Simplify right side
    91,438.40x = 7,405,573,136.64
  5. Step 5: Solve for x
    x = 7,405,573,136.64/91,438.40
  6. Step 6: Final answer
    x = 80,989.75

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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.