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Finding the Fourth Proportional to 102,409.38, 153,639.99 and 28,537.38

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Solution

The fourth proportional to 102,409.38, 153,639.99 and 28,537.38 is: 42,813.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,409.38 : 153,639.99 = 28,537.38 : x
  2. Step 2: Convert to fraction form
    102,409.38/153,639.99 = 28,537.38/x
  3. Step 3: Cross multiply
    102,409.38x = 153,639.99 × 28,537.38
  4. Step 4: Simplify right side
    102,409.38x = 4,384,482,777.83
  5. Step 5: Solve for x
    x = 4,384,482,777.83/102,409.38
  6. Step 6: Final answer
    x = 42,813.29

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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.