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Finding the Fourth Proportional to 152,354.67, 228,072.74 and 82,020.75

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Solution

The fourth proportional to 152,354.67, 228,072.74 and 82,020.75 is: 122,783.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,354.67 : 228,072.74 = 82,020.75 : x
  2. Step 2: Convert to fraction form
    152,354.67/228,072.74 = 82,020.75/x
  3. Step 3: Cross multiply
    152,354.67x = 228,072.74 × 82,020.75
  4. Step 4: Simplify right side
    152,354.67x = 18,706,696,779.25
  5. Step 5: Solve for x
    x = 18,706,696,779.25/152,354.67
  6. Step 6: Final answer
    x = 122,783.88

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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.