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Finding the Fourth Proportional to 75,277.65, 104,012.19 and 72,583.50

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Solution

The fourth proportional to 75,277.65, 104,012.19 and 72,583.50 is: 100,289.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,277.65 : 104,012.19 = 72,583.50 : x
  2. Step 2: Convert to fraction form
    75,277.65/104,012.19 = 72,583.50/x
  3. Step 3: Cross multiply
    75,277.65x = 104,012.19 × 72,583.50
  4. Step 4: Simplify right side
    75,277.65x = 7,549,568,792.87
  5. Step 5: Solve for x
    x = 7,549,568,792.87/75,277.65
  6. Step 6: Final answer
    x = 100,289.64

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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.