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Finding the Fourth Proportional to 205,300.80, 307,947.84 and 65,059.20

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Solution

The fourth proportional to 205,300.80, 307,947.84 and 65,059.20 is: 97,587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,300.80 : 307,947.84 = 65,059.20 : x
  2. Step 2: Convert to fraction form
    205,300.80/307,947.84 = 65,059.20/x
  3. Step 3: Cross multiply
    205,300.80x = 307,947.84 × 65,059.20
  4. Step 4: Simplify right side
    205,300.80x = 20,034,840,112.13
  5. Step 5: Solve for x
    x = 20,034,840,112.13/205,300.80
  6. Step 6: Final answer
    x = 97,587.74

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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.