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Finding the Fourth Proportional to 78,658.40, 117,987.60 and 73,409.60

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Solution

The fourth proportional to 78,658.40, 117,987.60 and 73,409.60 is: 110,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,658.40 : 117,987.60 = 73,409.60 : x
  2. Step 2: Convert to fraction form
    78,658.40/117,987.60 = 73,409.60/x
  3. Step 3: Cross multiply
    78,658.40x = 117,987.60 × 73,409.60
  4. Step 4: Simplify right side
    78,658.40x = 8,661,422,520.96
  5. Step 5: Solve for x
    x = 8,661,422,520.96/78,658.40
  6. Step 6: Final answer
    x = 110,114.40

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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.