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Finding the Fourth Proportional to 190,854.90, 286,391.70 and 72,611.10

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Solution

The fourth proportional to 190,854.90, 286,391.70 and 72,611.10 is: 108,958.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,854.90 : 286,391.70 = 72,611.10 : x
  2. Step 2: Convert to fraction form
    190,854.90/286,391.70 = 72,611.10/x
  3. Step 3: Cross multiply
    190,854.90x = 286,391.70 × 72,611.10
  4. Step 4: Simplify right side
    190,854.90x = 20,795,216,367.87
  5. Step 5: Solve for x
    x = 20,795,216,367.87/190,854.90
  6. Step 6: Final answer
    x = 108,958.25

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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.