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Finding the Fourth Proportional to 205,098.55, 307,647.83 and 55,338.84

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Solution

The fourth proportional to 205,098.55, 307,647.83 and 55,338.84 is: 83,008.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,098.55 : 307,647.83 = 55,338.84 : x
  2. Step 2: Convert to fraction form
    205,098.55/307,647.83 = 55,338.84/x
  3. Step 3: Cross multiply
    205,098.55x = 307,647.83 × 55,338.84
  4. Step 4: Simplify right side
    205,098.55x = 17,024,873,961.42
  5. Step 5: Solve for x
    x = 17,024,873,961.42/205,098.55
  6. Step 6: Final answer
    x = 83,008.26

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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.