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Finding the Fourth Proportional to 103,878.65, 155,844.26 and 28,998.74

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Solution

The fourth proportional to 103,878.65, 155,844.26 and 28,998.74 is: 43,505.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,878.65 : 155,844.26 = 28,998.74 : x
  2. Step 2: Convert to fraction form
    103,878.65/155,844.26 = 28,998.74/x
  3. Step 3: Cross multiply
    103,878.65x = 155,844.26 × 28,998.74
  4. Step 4: Simplify right side
    103,878.65x = 4,519,287,176.23
  5. Step 5: Solve for x
    x = 4,519,287,176.23/103,878.65
  6. Step 6: Final answer
    x = 43,505.45

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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.