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Finding the Fourth Proportional to 120,139.79, 165,786.21 and 66,421.67

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Solution

The fourth proportional to 120,139.79, 165,786.21 and 66,421.67 is: 91,658.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,139.79 : 165,786.21 = 66,421.67 : x
  2. Step 2: Convert to fraction form
    120,139.79/165,786.21 = 66,421.67/x
  3. Step 3: Cross multiply
    120,139.79x = 165,786.21 × 66,421.67
  4. Step 4: Simplify right side
    120,139.79x = 11,011,796,102.24
  5. Step 5: Solve for x
    x = 11,011,796,102.24/120,139.79
  6. Step 6: Final answer
    x = 91,658.20

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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.