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Finding the Fourth Proportional to 228,068.22, 342,069.72 and 78,305.70

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Solution

The fourth proportional to 228,068.22, 342,069.72 and 78,305.70 is: 117,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,068.22 : 342,069.72 = 78,305.70 : x
  2. Step 2: Convert to fraction form
    228,068.22/342,069.72 = 78,305.70/x
  3. Step 3: Cross multiply
    228,068.22x = 342,069.72 × 78,305.70
  4. Step 4: Simplify right side
    228,068.22x = 26,786,008,873.40
  5. Step 5: Solve for x
    x = 26,786,008,873.40/228,068.22
  6. Step 6: Final answer
    x = 117,447.35

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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.