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Finding the Fourth Proportional to 78,735.30, 118,102.95 and 74,470.65

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Solution

The fourth proportional to 78,735.30, 118,102.95 and 74,470.65 is: 111,705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,735.30 : 118,102.95 = 74,470.65 : x
  2. Step 2: Convert to fraction form
    78,735.30/118,102.95 = 74,470.65/x
  3. Step 3: Cross multiply
    78,735.30x = 118,102.95 × 74,470.65
  4. Step 4: Simplify right side
    78,735.30x = 8,795,203,453.42
  5. Step 5: Solve for x
    x = 8,795,203,453.42/78,735.30
  6. Step 6: Final answer
    x = 111,705.98

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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.