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Finding the Fourth Proportional to 121,422.24, 181,858.32 and 65,164.32

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Solution

The fourth proportional to 121,422.24, 181,858.32 and 65,164.32 is: 97,598.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,422.24 : 181,858.32 = 65,164.32 : x
  2. Step 2: Convert to fraction form
    121,422.24/181,858.32 = 65,164.32/x
  3. Step 3: Cross multiply
    121,422.24x = 181,858.32 × 65,164.32
  4. Step 4: Simplify right side
    121,422.24x = 11,850,673,759.14
  5. Step 5: Solve for x
    x = 11,850,673,759.14/121,422.24
  6. Step 6: Final answer
    x = 97,598.87

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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.