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Finding the Fourth Proportional to 103,678.69, 155,476.18 and 40,489.78

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Solution

The fourth proportional to 103,678.69, 155,476.18 and 40,489.78 is: 60,718.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,678.69 : 155,476.18 = 40,489.78 : x
  2. Step 2: Convert to fraction form
    103,678.69/155,476.18 = 40,489.78/x
  3. Step 3: Cross multiply
    103,678.69x = 155,476.18 × 40,489.78
  4. Step 4: Simplify right side
    103,678.69x = 6,295,196,323.44
  5. Step 5: Solve for x
    x = 6,295,196,323.44/103,678.69
  6. Step 6: Final answer
    x = 60,718.32

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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.