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Finding the Fourth Proportional to 103,578.70, 155,368.05 and 41,217.10

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Solution

The fourth proportional to 103,578.70, 155,368.05 and 41,217.10 is: 61,825.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,578.70 : 155,368.05 = 41,217.10 : x
  2. Step 2: Convert to fraction form
    103,578.70/155,368.05 = 41,217.10/x
  3. Step 3: Cross multiply
    103,578.70x = 155,368.05 × 41,217.10
  4. Step 4: Simplify right side
    103,578.70x = 6,403,820,453.66
  5. Step 5: Solve for x
    x = 6,403,820,453.66/103,578.70
  6. Step 6: Final answer
    x = 61,825.65

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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.