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Finding the Fourth Proportional to 75,763, 104,556.18 and 42,229

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Solution

The fourth proportional to 75,763, 104,556.18 and 42,229 is: 58,277.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,763 : 104,556.18 = 42,229 : x
  2. Step 2: Convert to fraction form
    75,763/104,556.18 = 42,229/x
  3. Step 3: Cross multiply
    75,763x = 104,556.18 × 42,229
  4. Step 4: Simplify right side
    75,763x = 4,415,302,925.22
  5. Step 5: Solve for x
    x = 4,415,302,925.22/75,763
  6. Step 6: Final answer
    x = 58,277.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.