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Finding the Fourth Proportional to 205,557.72, 308,091.12 and 105,765.72

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Solution

The fourth proportional to 205,557.72, 308,091.12 and 105,765.72 is: 158,522.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,557.72 : 308,091.12 = 105,765.72 : x
  2. Step 2: Convert to fraction form
    205,557.72/308,091.12 = 105,765.72/x
  3. Step 3: Cross multiply
    205,557.72x = 308,091.12 × 105,765.72
  4. Step 4: Simplify right side
    205,557.72x = 32,585,479,132.41
  5. Step 5: Solve for x
    x = 32,585,479,132.41/205,557.72
  6. Step 6: Final answer
    x = 158,522.28

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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.