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Finding the Fourth Proportional to 50,114, 75,175.44 and 13,178

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Solution

The fourth proportional to 50,114, 75,175.44 and 13,178 is: 19,768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,114 : 75,175.44 = 13,178 : x
  2. Step 2: Convert to fraction form
    50,114/75,175.44 = 13,178/x
  3. Step 3: Cross multiply
    50,114x = 75,175.44 × 13,178
  4. Step 4: Simplify right side
    50,114x = 990,661,948.32
  5. Step 5: Solve for x
    x = 990,661,948.32/50,114
  6. Step 6: Final answer
    x = 19,768.17

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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.