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Finding the Fourth Proportional to 75,860, 104,686.80 and 42,326

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Solution

The fourth proportional to 75,860, 104,686.80 and 42,326 is: 58,409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,860 : 104,686.80 = 42,326 : x
  2. Step 2: Convert to fraction form
    75,860/104,686.80 = 42,326/x
  3. Step 3: Cross multiply
    75,860x = 104,686.80 × 42,326
  4. Step 4: Simplify right side
    75,860x = 4,430,973,496.80
  5. Step 5: Solve for x
    x = 4,430,973,496.80/75,860
  6. Step 6: Final answer
    x = 58,409.88

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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.