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Finding the Fourth Proportional to 137,274.28, 205,941.66 and 78,137.80

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Solution

The fourth proportional to 137,274.28, 205,941.66 and 78,137.80 is: 117,223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,274.28 : 205,941.66 = 78,137.80 : x
  2. Step 2: Convert to fraction form
    137,274.28/205,941.66 = 78,137.80/x
  3. Step 3: Cross multiply
    137,274.28x = 205,941.66 × 78,137.80
  4. Step 4: Simplify right side
    137,274.28x = 16,091,828,240.75
  5. Step 5: Solve for x
    x = 16,091,828,240.75/137,274.28
  6. Step 6: Final answer
    x = 117,223.91

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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.