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Finding the Fourth Proportional to 66,911.25, 100,405.76 and 29,975.25

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Solution

The fourth proportional to 66,911.25, 100,405.76 and 29,975.25 is: 44,980.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,911.25 : 100,405.76 = 29,975.25 : x
  2. Step 2: Convert to fraction form
    66,911.25/100,405.76 = 29,975.25/x
  3. Step 3: Cross multiply
    66,911.25x = 100,405.76 × 29,975.25
  4. Step 4: Simplify right side
    66,911.25x = 3,009,687,607.56
  5. Step 5: Solve for x
    x = 3,009,687,607.56/66,911.25
  6. Step 6: Final answer
    x = 44,980.29

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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.