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Finding the Fourth Proportional to 205,236.40, 307,595.40 and 99,828.40

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Solution

The fourth proportional to 205,236.40, 307,595.40 and 99,828.40 is: 149,616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,236.40 : 307,595.40 = 99,828.40 : x
  2. Step 2: Convert to fraction form
    205,236.40/307,595.40 = 99,828.40/x
  3. Step 3: Cross multiply
    205,236.40x = 307,595.40 × 99,828.40
  4. Step 4: Simplify right side
    205,236.40x = 30,706,756,629.36
  5. Step 5: Solve for x
    x = 30,706,756,629.36/205,236.40
  6. Step 6: Final answer
    x = 149,616.52

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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.