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Finding the Fourth Proportional to 91,163.90, 136,807 and 31,999.74

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Solution

The fourth proportional to 91,163.90, 136,807 and 31,999.74 is: 48,021.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,163.90 : 136,807 = 31,999.74 : x
  2. Step 2: Convert to fraction form
    91,163.90/136,807 = 31,999.74/x
  3. Step 3: Cross multiply
    91,163.90x = 136,807 × 31,999.74
  4. Step 4: Simplify right side
    91,163.90x = 4,377,788,430.18
  5. Step 5: Solve for x
    x = 4,377,788,430.18/91,163.90
  6. Step 6: Final answer
    x = 48,021.07

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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.