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Finding the Fourth Proportional to 71,409.42, 98,544.81 and 39,578.31

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Solution

The fourth proportional to 71,409.42, 98,544.81 and 39,578.31 is: 54,617.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,409.42 : 98,544.81 = 39,578.31 : x
  2. Step 2: Convert to fraction form
    71,409.42/98,544.81 = 39,578.31/x
  3. Step 3: Cross multiply
    71,409.42x = 98,544.81 × 39,578.31
  4. Step 4: Simplify right side
    71,409.42x = 3,900,237,039.07
  5. Step 5: Solve for x
    x = 3,900,237,039.07/71,409.42
  6. Step 6: Final answer
    x = 54,617.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.