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Finding the Fourth Proportional to 134,448, 201,684.69 and 39,678.54

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Solution

The fourth proportional to 134,448, 201,684.69 and 39,678.54 is: 59,521.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,448 : 201,684.69 = 39,678.54 : x
  2. Step 2: Convert to fraction form
    134,448/201,684.69 = 39,678.54/x
  3. Step 3: Cross multiply
    134,448x = 201,684.69 × 39,678.54
  4. Step 4: Simplify right side
    134,448x = 8,002,554,039.55
  5. Step 5: Solve for x
    x = 8,002,554,039.55/134,448
  6. Step 6: Final answer
    x = 59,521.56

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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.