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Finding the Fourth Proportional to 205,903.40, 308,826.30 and 65,676.20

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Solution

The fourth proportional to 205,903.40, 308,826.30 and 65,676.20 is: 98,505.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,903.40 : 308,826.30 = 65,676.20 : x
  2. Step 2: Convert to fraction form
    205,903.40/308,826.30 = 65,676.20/x
  3. Step 3: Cross multiply
    205,903.40x = 308,826.30 × 65,676.20
  4. Step 4: Simplify right side
    205,903.40x = 20,282,537,844.06
  5. Step 5: Solve for x
    x = 20,282,537,844.06/205,903.40
  6. Step 6: Final answer
    x = 98,505.11

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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.