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Finding the Fourth Proportional to 120,317.81, 180,654.14 and 67,113.74

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Solution

The fourth proportional to 120,317.81, 180,654.14 and 67,113.74 is: 100,769.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,317.81 : 180,654.14 = 67,113.74 : x
  2. Step 2: Convert to fraction form
    120,317.81/180,654.14 = 67,113.74/x
  3. Step 3: Cross multiply
    120,317.81x = 180,654.14 × 67,113.74
  4. Step 4: Simplify right side
    120,317.81x = 12,124,374,981.88
  5. Step 5: Solve for x
    x = 12,124,374,981.88/120,317.81
  6. Step 6: Final answer
    x = 100,769.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.