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Finding the Fourth Proportional to 78,026.40, 117,039.60 and 68,986.80

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Solution

The fourth proportional to 78,026.40, 117,039.60 and 68,986.80 is: 103,480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,026.40 : 117,039.60 = 68,986.80 : x
  2. Step 2: Convert to fraction form
    78,026.40/117,039.60 = 68,986.80/x
  3. Step 3: Cross multiply
    78,026.40x = 117,039.60 × 68,986.80
  4. Step 4: Simplify right side
    78,026.40x = 8,074,187,477.28
  5. Step 5: Solve for x
    x = 8,074,187,477.28/78,026.40
  6. Step 6: Final answer
    x = 103,480.20

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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.