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Finding the Fourth Proportional to 91,122, 136,684.22 and 31,959.40

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Solution

The fourth proportional to 91,122, 136,684.22 and 31,959.40 is: 47,939.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,122 : 136,684.22 = 31,959.40 : x
  2. Step 2: Convert to fraction form
    91,122/136,684.22 = 31,959.40/x
  3. Step 3: Cross multiply
    91,122x = 136,684.22 × 31,959.40
  4. Step 4: Simplify right side
    91,122x = 4,368,345,660.67
  5. Step 5: Solve for x
    x = 4,368,345,660.67/91,122
  6. Step 6: Final answer
    x = 47,939.53

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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.