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Finding the Fourth Proportional to 120,758.79, 166,647.74 and 75,463.10

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Solution

The fourth proportional to 120,758.79, 166,647.74 and 75,463.10 is: 104,139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,758.79 : 166,647.74 = 75,463.10 : x
  2. Step 2: Convert to fraction form
    120,758.79/166,647.74 = 75,463.10/x
  3. Step 3: Cross multiply
    120,758.79x = 166,647.74 × 75,463.10
  4. Step 4: Simplify right side
    120,758.79x = 12,575,753,857.84
  5. Step 5: Solve for x
    x = 12,575,753,857.84/120,758.79
  6. Step 6: Final answer
    x = 104,139.45

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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.