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Finding the Fourth Proportional to 120,052.62, 165,749.90 and 77,050.67

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Solution

The fourth proportional to 120,052.62, 165,749.90 and 77,050.67 is: 106,379.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,052.62 : 165,749.90 = 77,050.67 : x
  2. Step 2: Convert to fraction form
    120,052.62/165,749.90 = 77,050.67/x
  3. Step 3: Cross multiply
    120,052.62x = 165,749.90 × 77,050.67
  4. Step 4: Simplify right side
    120,052.62x = 12,771,139,633.43
  5. Step 5: Solve for x
    x = 12,771,139,633.43/120,052.62
  6. Step 6: Final answer
    x = 106,379.52

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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.