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Finding the Fourth Proportional to 202,328.80, 303,676.80 and 102,558.40

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Solution

The fourth proportional to 202,328.80, 303,676.80 and 102,558.40 is: 153,930.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,328.80 : 303,676.80 = 102,558.40 : x
  2. Step 2: Convert to fraction form
    202,328.80/303,676.80 = 102,558.40/x
  3. Step 3: Cross multiply
    202,328.80x = 303,676.80 × 102,558.40
  4. Step 4: Simplify right side
    202,328.80x = 31,144,606,725.12
  5. Step 5: Solve for x
    x = 31,144,606,725.12/202,328.80
  6. Step 6: Final answer
    x = 153,930.66

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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.