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Finding the Fourth Proportional to 75,639, 104,381.82 and 42,107.16

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Solution

The fourth proportional to 75,639, 104,381.82 and 42,107.16 is: 58,107.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,639 : 104,381.82 = 42,107.16 : x
  2. Step 2: Convert to fraction form
    75,639/104,381.82 = 42,107.16/x
  3. Step 3: Cross multiply
    75,639x = 104,381.82 × 42,107.16
  4. Step 4: Simplify right side
    75,639x = 4,395,221,995.83
  5. Step 5: Solve for x
    x = 4,395,221,995.83/75,639
  6. Step 6: Final answer
    x = 58,107.88

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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.