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Finding the Fourth Proportional to 78,684.20, 118,048.20 and 34,314.84

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Solution

The fourth proportional to 78,684.20, 118,048.20 and 34,314.84 is: 51,481.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,684.20 : 118,048.20 = 34,314.84 : x
  2. Step 2: Convert to fraction form
    78,684.20/118,048.20 = 34,314.84/x
  3. Step 3: Cross multiply
    78,684.20x = 118,048.20 × 34,314.84
  4. Step 4: Simplify right side
    78,684.20x = 4,050,805,095.29
  5. Step 5: Solve for x
    x = 4,050,805,095.29/78,684.20
  6. Step 6: Final answer
    x = 51,481.81

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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.