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Finding the Fourth Proportional to 103,967, 155,976.48 and 30,095

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Solution

The fourth proportional to 103,967, 155,976.48 and 30,095 is: 45,150.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,967 : 155,976.48 = 30,095 : x
  2. Step 2: Convert to fraction form
    103,967/155,976.48 = 30,095/x
  3. Step 3: Cross multiply
    103,967x = 155,976.48 × 30,095
  4. Step 4: Simplify right side
    103,967x = 4,694,112,165.60
  5. Step 5: Solve for x
    x = 4,694,112,165.60/103,967
  6. Step 6: Final answer
    x = 45,150.02

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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.