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Finding the Fourth Proportional to 228,589.16, 342,900.16 and 78,827.29

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Solution

The fourth proportional to 228,589.16, 342,900.16 and 78,827.29 is: 118,246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,589.16 : 342,900.16 = 78,827.29 : x
  2. Step 2: Convert to fraction form
    228,589.16/342,900.16 = 78,827.29/x
  3. Step 3: Cross multiply
    228,589.16x = 342,900.16 × 78,827.29
  4. Step 4: Simplify right side
    228,589.16x = 27,029,889,299.05
  5. Step 5: Solve for x
    x = 27,029,889,299.05/228,589.16
  6. Step 6: Final answer
    x = 118,246.60

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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.