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Finding the Fourth Proportional to 205,512.70, 308,038.65 and 105,634.30

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Solution

The fourth proportional to 205,512.70, 308,038.65 and 105,634.30 is: 158,333.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,512.70 : 308,038.65 = 105,634.30 : x
  2. Step 2: Convert to fraction form
    205,512.70/308,038.65 = 105,634.30/x
  3. Step 3: Cross multiply
    205,512.70x = 308,038.65 × 105,634.30
  4. Step 4: Simplify right side
    205,512.70x = 32,539,447,165.70
  5. Step 5: Solve for x
    x = 32,539,447,165.70/205,512.70
  6. Step 6: Final answer
    x = 158,333.02

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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.