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Finding the Fourth Proportional to 202,382.16, 303,759.93 and 102,612

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Solution

The fourth proportional to 202,382.16, 303,759.93 and 102,612 is: 154,012.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,382.16 : 303,759.93 = 102,612 : x
  2. Step 2: Convert to fraction form
    202,382.16/303,759.93 = 102,612/x
  3. Step 3: Cross multiply
    202,382.16x = 303,759.93 × 102,612
  4. Step 4: Simplify right side
    202,382.16x = 31,169,413,937.16
  5. Step 5: Solve for x
    x = 31,169,413,937.16/202,382.16
  6. Step 6: Final answer
    x = 154,012.66

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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.