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Finding the Fourth Proportional to 75,903, 104,746.20 and 42,369

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Solution

The fourth proportional to 75,903, 104,746.20 and 42,369 is: 58,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,903 : 104,746.20 = 42,369 : x
  2. Step 2: Convert to fraction form
    75,903/104,746.20 = 42,369/x
  3. Step 3: Cross multiply
    75,903x = 104,746.20 × 42,369
  4. Step 4: Simplify right side
    75,903x = 4,437,991,747.80
  5. Step 5: Solve for x
    x = 4,437,991,747.80/75,903
  6. Step 6: Final answer
    x = 58,469.25

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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.