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Finding the Fourth Proportional to 205,555.70, 308,088.12 and 105,763.70

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Solution

The fourth proportional to 205,555.70, 308,088.12 and 105,763.70 is: 158,519.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,555.70 : 308,088.12 = 105,763.70 : x
  2. Step 2: Convert to fraction form
    205,555.70/308,088.12 = 105,763.70/x
  3. Step 3: Cross multiply
    205,555.70x = 308,088.12 × 105,763.70
  4. Step 4: Simplify right side
    205,555.70x = 32,584,539,497.24
  5. Step 5: Solve for x
    x = 32,584,539,497.24/205,555.70
  6. Step 6: Final answer
    x = 158,519.27

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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.