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Finding the Fourth Proportional to 101,969.26, 152,975.78 and 42,770.81

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Solution

The fourth proportional to 101,969.26, 152,975.78 and 42,770.81 is: 64,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,969.26 : 152,975.78 = 42,770.81 : x
  2. Step 2: Convert to fraction form
    101,969.26/152,975.78 = 42,770.81/x
  3. Step 3: Cross multiply
    101,969.26x = 152,975.78 × 42,770.81
  4. Step 4: Simplify right side
    101,969.26x = 6,542,898,020.98
  5. Step 5: Solve for x
    x = 6,542,898,020.98/101,969.26
  6. Step 6: Final answer
    x = 64,165.40

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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.