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Finding the Fourth Proportional to 115,322.40, 172,940.40 and 80,157.60

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Solution

The fourth proportional to 115,322.40, 172,940.40 and 80,157.60 is: 120,206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,322.40 : 172,940.40 = 80,157.60 : x
  2. Step 2: Convert to fraction form
    115,322.40/172,940.40 = 80,157.60/x
  3. Step 3: Cross multiply
    115,322.40x = 172,940.40 × 80,157.60
  4. Step 4: Simplify right side
    115,322.40x = 13,862,487,407.04
  5. Step 5: Solve for x
    x = 13,862,487,407.04/115,322.40
  6. Step 6: Final answer
    x = 120,206.37

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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.