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Finding the Fourth Proportional to 205,059.70, 307,666.35 and 80,490.10

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Solution

The fourth proportional to 205,059.70, 307,666.35 and 80,490.10 is: 120,765.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,059.70 : 307,666.35 = 80,490.10 : x
  2. Step 2: Convert to fraction form
    205,059.70/307,666.35 = 80,490.10/x
  3. Step 3: Cross multiply
    205,059.70x = 307,666.35 × 80,490.10
  4. Step 4: Simplify right side
    205,059.70x = 24,764,095,278.14
  5. Step 5: Solve for x
    x = 24,764,095,278.14/205,059.70
  6. Step 6: Final answer
    x = 120,765.30

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1.5x scale

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.