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Finding the Fourth Proportional to 50,178, 75,272.04 and 13,242

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Solution

The fourth proportional to 50,178, 75,272.04 and 13,242 is: 19,864.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,178 : 75,272.04 = 13,242 : x
  2. Step 2: Convert to fraction form
    50,178/75,272.04 = 13,242/x
  3. Step 3: Cross multiply
    50,178x = 75,272.04 × 13,242
  4. Step 4: Simplify right side
    50,178x = 996,752,353.68
  5. Step 5: Solve for x
    x = 996,752,353.68/50,178
  6. Step 6: Final answer
    x = 19,864.33

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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.