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Finding the Fourth Proportional to 138,356.64, 190,530.16 and 120,199.07

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Solution

The fourth proportional to 138,356.64, 190,530.16 and 120,199.07 is: 165,525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,356.64 : 190,530.16 = 120,199.07 : x
  2. Step 2: Convert to fraction form
    138,356.64/190,530.16 = 120,199.07/x
  3. Step 3: Cross multiply
    138,356.64x = 190,530.16 × 120,199.07
  4. Step 4: Simplify right side
    138,356.64x = 22,901,548,214.78
  5. Step 5: Solve for x
    x = 22,901,548,214.78/138,356.64
  6. Step 6: Final answer
    x = 165,525.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.