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Finding the Fourth Proportional to 228,079.76, 342,137.88 and 78,259.76

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Solution

The fourth proportional to 228,079.76, 342,137.88 and 78,259.76 is: 117,395.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,079.76 : 342,137.88 = 78,259.76 : x
  2. Step 2: Convert to fraction form
    228,079.76/342,137.88 = 78,259.76/x
  3. Step 3: Cross multiply
    228,079.76x = 342,137.88 × 78,259.76
  4. Step 4: Simplify right side
    228,079.76x = 26,775,628,375.71
  5. Step 5: Solve for x
    x = 26,775,628,375.71/228,079.76
  6. Step 6: Final answer
    x = 117,395.90

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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.