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Finding the Fourth Proportional to 100,398.56, 150,643.80 and 43,489.86

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Solution

The fourth proportional to 100,398.56, 150,643.80 and 43,489.86 is: 65,254.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,398.56 : 150,643.80 = 43,489.86 : x
  2. Step 2: Convert to fraction form
    100,398.56/150,643.80 = 43,489.86/x
  3. Step 3: Cross multiply
    100,398.56x = 150,643.80 × 43,489.86
  4. Step 4: Simplify right side
    100,398.56x = 6,551,477,771.87
  5. Step 5: Solve for x
    x = 6,551,477,771.87/100,398.56
  6. Step 6: Final answer
    x = 65,254.70

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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.