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Finding the Fourth Proportional to 205,430.70, 308,200.05 and 65,189.10

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Solution

The fourth proportional to 205,430.70, 308,200.05 and 65,189.10 is: 97,800.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,430.70 : 308,200.05 = 65,189.10 : x
  2. Step 2: Convert to fraction form
    205,430.70/308,200.05 = 65,189.10/x
  3. Step 3: Cross multiply
    205,430.70x = 308,200.05 × 65,189.10
  4. Step 4: Simplify right side
    205,430.70x = 20,091,283,879.46
  5. Step 5: Solve for x
    x = 20,091,283,879.46/205,430.70
  6. Step 6: Final answer
    x = 97,800.79

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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.