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Finding the Fourth Proportional to 120,805.58, 166,795.10 and 75,503.93

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Solution

The fourth proportional to 120,805.58, 166,795.10 and 75,503.93 is: 104,247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,805.58 : 166,795.10 = 75,503.93 : x
  2. Step 2: Convert to fraction form
    120,805.58/166,795.10 = 75,503.93/x
  3. Step 3: Cross multiply
    120,805.58x = 166,795.10 × 75,503.93
  4. Step 4: Simplify right side
    120,805.58x = 12,593,684,343.25
  5. Step 5: Solve for x
    x = 12,593,684,343.25/120,805.58
  6. Step 6: Final answer
    x = 104,247.54

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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.