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Finding the Fourth Proportional to 228,068.21, 342,069.72 and 78,305.69

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Solution

The fourth proportional to 228,068.21, 342,069.72 and 78,305.69 is: 117,447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,068.21 : 342,069.72 = 78,305.69 : x
  2. Step 2: Convert to fraction form
    228,068.21/342,069.72 = 78,305.69/x
  3. Step 3: Cross multiply
    228,068.21x = 342,069.72 × 78,305.69
  4. Step 4: Simplify right side
    228,068.21x = 26,786,005,452.71
  5. Step 5: Solve for x
    x = 26,786,005,452.71/228,068.21
  6. Step 6: Final answer
    x = 117,447.34

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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.