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Finding the Fourth Proportional to 75,699.75, 104,468.90 and 42,165.75

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Solution

The fourth proportional to 75,699.75, 104,468.90 and 42,165.75 is: 58,190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,699.75 : 104,468.90 = 42,165.75 : x
  2. Step 2: Convert to fraction form
    75,699.75/104,468.90 = 42,165.75/x
  3. Step 3: Cross multiply
    75,699.75x = 104,468.90 × 42,165.75
  4. Step 4: Simplify right side
    75,699.75x = 4,405,009,520.18
  5. Step 5: Solve for x
    x = 4,405,009,520.18/75,699.75
  6. Step 6: Final answer
    x = 58,190.54

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1.5x scale

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.