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Finding the Fourth Proportional to 43,526, 65,289.72 and 18,902

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Solution

The fourth proportional to 43,526, 65,289.72 and 18,902 is: 28,353.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,526 : 65,289.72 = 18,902 : x
  2. Step 2: Convert to fraction form
    43,526/65,289.72 = 18,902/x
  3. Step 3: Cross multiply
    43,526x = 65,289.72 × 18,902
  4. Step 4: Simplify right side
    43,526x = 1,234,106,287.44
  5. Step 5: Solve for x
    x = 1,234,106,287.44/43,526
  6. Step 6: Final answer
    x = 28,353.31

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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.