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Finding the Fourth Proportional to 228,589.08, 342,900.05 and 78,827.20

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Solution

The fourth proportional to 228,589.08, 342,900.05 and 78,827.20 is: 118,246.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,589.08 : 342,900.05 = 78,827.20 : x
  2. Step 2: Convert to fraction form
    228,589.08/342,900.05 = 78,827.20/x
  3. Step 3: Cross multiply
    228,589.08x = 342,900.05 × 78,827.20
  4. Step 4: Simplify right side
    228,589.08x = 27,029,850,821.36
  5. Step 5: Solve for x
    x = 27,029,850,821.36/228,589.08
  6. Step 6: Final answer
    x = 118,246.47

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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.