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Finding the Fourth Proportional to 100,509, 150,832.62 and 34,845

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Solution

The fourth proportional to 100,509, 150,832.62 and 34,845 is: 52,291.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,509 : 150,832.62 = 34,845 : x
  2. Step 2: Convert to fraction form
    100,509/150,832.62 = 34,845/x
  3. Step 3: Cross multiply
    100,509x = 150,832.62 × 34,845
  4. Step 4: Simplify right side
    100,509x = 5,255,762,643.90
  5. Step 5: Solve for x
    x = 5,255,762,643.90/100,509
  6. Step 6: Final answer
    x = 52,291.46

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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.