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Finding the Fourth Proportional to 205,300.28, 307,961.36 and 65,069.84

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Solution

The fourth proportional to 205,300.28, 307,961.36 and 65,069.84 is: 97,608.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,300.28 : 307,961.36 = 65,069.84 : x
  2. Step 2: Convert to fraction form
    205,300.28/307,961.36 = 65,069.84/x
  3. Step 3: Cross multiply
    205,300.28x = 307,961.36 × 65,069.84
  4. Step 4: Simplify right side
    205,300.28x = 20,038,997,109.95
  5. Step 5: Solve for x
    x = 20,038,997,109.95/205,300.28
  6. Step 6: Final answer
    x = 97,608.23

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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.