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Finding the Fourth Proportional to 78,782.50, 118,173.75 and 23,378.50

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Solution

The fourth proportional to 78,782.50, 118,173.75 and 23,378.50 is: 35,067.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,782.50 : 118,173.75 = 23,378.50 : x
  2. Step 2: Convert to fraction form
    78,782.50/118,173.75 = 23,378.50/x
  3. Step 3: Cross multiply
    78,782.50x = 118,173.75 × 23,378.50
  4. Step 4: Simplify right side
    78,782.50x = 2,762,725,014.38
  5. Step 5: Solve for x
    x = 2,762,725,014.38/78,782.50
  6. Step 6: Final answer
    x = 35,067.75

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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.