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Finding the Fourth Proportional to 190,277.80, 285,211.90 and 71,903.40

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Solution

The fourth proportional to 190,277.80, 285,211.90 and 71,903.40 is: 107,777.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,277.80 : 285,211.90 = 71,903.40 : x
  2. Step 2: Convert to fraction form
    190,277.80/285,211.90 = 71,903.40/x
  3. Step 3: Cross multiply
    190,277.80x = 285,211.90 × 71,903.40
  4. Step 4: Simplify right side
    190,277.80x = 20,507,705,330.46
  5. Step 5: Solve for x
    x = 20,507,705,330.46/190,277.80
  6. Step 6: Final answer
    x = 107,777.71

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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.