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Finding the Fourth Proportional to 206,527.60, 310,021.80 and 192,991.60

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Solution

The fourth proportional to 206,527.60, 310,021.80 and 192,991.60 is: 289,702.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,527.60 : 310,021.80 = 192,991.60 : x
  2. Step 2: Convert to fraction form
    206,527.60/310,021.80 = 192,991.60/x
  3. Step 3: Cross multiply
    206,527.60x = 310,021.80 × 192,991.60
  4. Step 4: Simplify right side
    206,527.60x = 59,831,603,216.88
  5. Step 5: Solve for x
    x = 59,831,603,216.88/206,527.60
  6. Step 6: Final answer
    x = 289,702.70

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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.