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Finding the Fourth Proportional to 78,483.84, 117,723.15 and 34,110.65

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Solution

The fourth proportional to 78,483.84, 117,723.15 and 34,110.65 is: 51,164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,483.84 : 117,723.15 = 34,110.65 : x
  2. Step 2: Convert to fraction form
    78,483.84/117,723.15 = 34,110.65/x
  3. Step 3: Cross multiply
    78,483.84x = 117,723.15 × 34,110.65
  4. Step 4: Simplify right side
    78,483.84x = 4,015,612,577.93
  5. Step 5: Solve for x
    x = 4,015,612,577.93/78,483.84
  6. Step 6: Final answer
    x = 51,164.83

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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.