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Finding the Fourth Proportional to 75,693, 104,456.34 and 42,159

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Solution

The fourth proportional to 75,693, 104,456.34 and 42,159 is: 58,179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,693 : 104,456.34 = 42,159 : x
  2. Step 2: Convert to fraction form
    75,693/104,456.34 = 42,159/x
  3. Step 3: Cross multiply
    75,693x = 104,456.34 × 42,159
  4. Step 4: Simplify right side
    75,693x = 4,403,774,838.06
  5. Step 5: Solve for x
    x = 4,403,774,838.06/75,693
  6. Step 6: Final answer
    x = 58,179.42

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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.