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Finding the Fourth Proportional to 205,400.70, 308,101.05 and 57,656.70

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Solution

The fourth proportional to 205,400.70, 308,101.05 and 57,656.70 is: 86,485.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,400.70 : 308,101.05 = 57,656.70 : x
  2. Step 2: Convert to fraction form
    205,400.70/308,101.05 = 57,656.70/x
  3. Step 3: Cross multiply
    205,400.70x = 308,101.05 × 57,656.70
  4. Step 4: Simplify right side
    205,400.70x = 17,764,089,809.54
  5. Step 5: Solve for x
    x = 17,764,089,809.54/205,400.70
  6. Step 6: Final answer
    x = 86,485.05

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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.