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Finding the Fourth Proportional to 205,555.32, 308,107.74 and 105,720.78

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Solution

The fourth proportional to 205,555.32, 308,107.74 and 105,720.78 is: 158,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,555.32 : 308,107.74 = 105,720.78 : x
  2. Step 2: Convert to fraction form
    205,555.32/308,107.74 = 105,720.78/x
  3. Step 3: Cross multiply
    205,555.32x = 308,107.74 × 105,720.78
  4. Step 4: Simplify right side
    205,555.32x = 32,573,390,596.84
  5. Step 5: Solve for x
    x = 32,573,390,596.84/205,555.32
  6. Step 6: Final answer
    x = 158,465.33

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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.