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Finding the Fourth Proportional to 75,231, 112,853.34 and 19,827

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Solution

The fourth proportional to 75,231, 112,853.34 and 19,827 is: 29,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,231 : 112,853.34 = 19,827 : x
  2. Step 2: Convert to fraction form
    75,231/112,853.34 = 19,827/x
  3. Step 3: Cross multiply
    75,231x = 112,853.34 × 19,827
  4. Step 4: Simplify right side
    75,231x = 2,237,543,172.18
  5. Step 5: Solve for x
    x = 2,237,543,172.18/75,231
  6. Step 6: Final answer
    x = 29,742.30

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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.