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Finding the Fourth Proportional to 103,809.25, 155,724.81 and 47,639.80

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Solution

The fourth proportional to 103,809.25, 155,724.81 and 47,639.80 is: 71,464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,809.25 : 155,724.81 = 47,639.80 : x
  2. Step 2: Convert to fraction form
    103,809.25/155,724.81 = 47,639.80/x
  3. Step 3: Cross multiply
    103,809.25x = 155,724.81 × 47,639.80
  4. Step 4: Simplify right side
    103,809.25x = 7,418,698,803.44
  5. Step 5: Solve for x
    x = 7,418,698,803.44/103,809.25
  6. Step 6: Final answer
    x = 71,464.72

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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.