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Finding the Fourth Proportional to 108,338.94, 162,484.38 and 78,770.70

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Solution

The fourth proportional to 108,338.94, 162,484.38 and 78,770.70 is: 118,138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,338.94 : 162,484.38 = 78,770.70 : x
  2. Step 2: Convert to fraction form
    108,338.94/162,484.38 = 78,770.70/x
  3. Step 3: Cross multiply
    108,338.94x = 162,484.38 × 78,770.70
  4. Step 4: Simplify right side
    108,338.94x = 12,799,008,351.67
  5. Step 5: Solve for x
    x = 12,799,008,351.67/108,338.94
  6. Step 6: Final answer
    x = 118,138.58

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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.