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Finding the Fourth Proportional to 205,960.60, 308,552.10 and 105,779.80

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Solution

The fourth proportional to 205,960.60, 308,552.10 and 105,779.80 is: 158,470.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,960.60 : 308,552.10 = 105,779.80 : x
  2. Step 2: Convert to fraction form
    205,960.60/308,552.10 = 105,779.80/x
  3. Step 3: Cross multiply
    205,960.60x = 308,552.10 × 105,779.80
  4. Step 4: Simplify right side
    205,960.60x = 32,638,579,427.58
  5. Step 5: Solve for x
    x = 32,638,579,427.58/205,960.60
  6. Step 6: Final answer
    x = 158,470.02

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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.