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Finding the Fourth Proportional to 75,836.40, 104,657.46 and 42,302.40

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Solution

The fourth proportional to 75,836.40, 104,657.46 and 42,302.40 is: 58,379.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,836.40 : 104,657.46 = 42,302.40 : x
  2. Step 2: Convert to fraction form
    75,836.40/104,657.46 = 42,302.40/x
  3. Step 3: Cross multiply
    75,836.40x = 104,657.46 × 42,302.40
  4. Step 4: Simplify right side
    75,836.40x = 4,427,261,735.90
  5. Step 5: Solve for x
    x = 4,427,261,735.90/75,836.40
  6. Step 6: Final answer
    x = 58,379.11

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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.