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Finding the Fourth Proportional to 75,858, 104,684.04 and 42,324

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Solution

The fourth proportional to 75,858, 104,684.04 and 42,324 is: 58,407.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,858 : 104,684.04 = 42,324 : x
  2. Step 2: Convert to fraction form
    75,858/104,684.04 = 42,324/x
  3. Step 3: Cross multiply
    75,858x = 104,684.04 × 42,324
  4. Step 4: Simplify right side
    75,858x = 4,430,647,308.96
  5. Step 5: Solve for x
    x = 4,430,647,308.96/75,858
  6. Step 6: Final answer
    x = 58,407.12

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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.