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Finding the Fourth Proportional to 254,164.64, 380,999.07 and 121,009.14

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Solution

The fourth proportional to 254,164.64, 380,999.07 and 121,009.14 is: 181,395.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,164.64 : 380,999.07 = 121,009.14 : x
  2. Step 2: Convert to fraction form
    254,164.64/380,999.07 = 121,009.14/x
  3. Step 3: Cross multiply
    254,164.64x = 380,999.07 × 121,009.14
  4. Step 4: Simplify right side
    254,164.64x = 46,104,369,801.50
  5. Step 5: Solve for x
    x = 46,104,369,801.50/254,164.64
  6. Step 6: Final answer
    x = 181,395.69

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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.