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Finding the Fourth Proportional to 205,513.70, 308,040.15 and 105,635.30

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Solution

The fourth proportional to 205,513.70, 308,040.15 and 105,635.30 is: 158,334.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,513.70 : 308,040.15 = 105,635.30 : x
  2. Step 2: Convert to fraction form
    205,513.70/308,040.15 = 105,635.30/x
  3. Step 3: Cross multiply
    205,513.70x = 308,040.15 × 105,635.30
  4. Step 4: Simplify right side
    205,513.70x = 32,539,913,657.30
  5. Step 5: Solve for x
    x = 32,539,913,657.30/205,513.70
  6. Step 6: Final answer
    x = 158,334.52

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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.