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Finding the Fourth Proportional to 120,757.79, 166,646.36 and 75,462.10

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Solution

The fourth proportional to 120,757.79, 166,646.36 and 75,462.10 is: 104,138.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,757.79 : 166,646.36 = 75,462.10 : x
  2. Step 2: Convert to fraction form
    120,757.79/166,646.36 = 75,462.10/x
  3. Step 3: Cross multiply
    120,757.79x = 166,646.36 × 75,462.10
  4. Step 4: Simplify right side
    120,757.79x = 12,575,484,282.96
  5. Step 5: Solve for x
    x = 12,575,484,282.96/120,757.79
  6. Step 6: Final answer
    x = 104,138.08

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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.