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Finding the Fourth Proportional to 228,381.98, 342,376.11 and 109,890.32

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Solution

The fourth proportional to 228,381.98, 342,376.11 and 109,890.32 is: 164,740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,381.98 : 342,376.11 = 109,890.32 : x
  2. Step 2: Convert to fraction form
    228,381.98/342,376.11 = 109,890.32/x
  3. Step 3: Cross multiply
    228,381.98x = 342,376.11 × 109,890.32
  4. Step 4: Simplify right side
    228,381.98x = 37,623,818,576.37
  5. Step 5: Solve for x
    x = 37,623,818,576.37/228,381.98
  6. Step 6: Final answer
    x = 164,740.75

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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.