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Finding the Fourth Proportional to 91,014.36, 136,583.03 and 31,850.53

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Solution

The fourth proportional to 91,014.36, 136,583.03 and 31,850.53 is: 47,797.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,014.36 : 136,583.03 = 31,850.53 : x
  2. Step 2: Convert to fraction form
    91,014.36/136,583.03 = 31,850.53/x
  3. Step 3: Cross multiply
    91,014.36x = 136,583.03 × 31,850.53
  4. Step 4: Simplify right side
    91,014.36x = 4,350,241,894.51
  5. Step 5: Solve for x
    x = 4,350,241,894.51/91,014.36
  6. Step 6: Final answer
    x = 47,797.31

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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.