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Finding the Fourth Proportional to 50,151, 75,231.06 and 13,215

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Solution

The fourth proportional to 50,151, 75,231.06 and 13,215 is: 19,823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,151 : 75,231.06 = 13,215 : x
  2. Step 2: Convert to fraction form
    50,151/75,231.06 = 13,215/x
  3. Step 3: Cross multiply
    50,151x = 75,231.06 × 13,215
  4. Step 4: Simplify right side
    50,151x = 994,178,457.90
  5. Step 5: Solve for x
    x = 994,178,457.90/50,151
  6. Step 6: Final answer
    x = 19,823.70

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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.