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Finding the Fourth Proportional to 180,407, 248,944.62 and 122,145.20

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Solution

The fourth proportional to 180,407, 248,944.62 and 122,145.20 is: 168,548.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,407 : 248,944.62 = 122,145.20 : x
  2. Step 2: Convert to fraction form
    180,407/248,944.62 = 122,145.20/x
  3. Step 3: Cross multiply
    180,407x = 248,944.62 × 122,145.20
  4. Step 4: Simplify right side
    180,407x = 30,407,390,398.82
  5. Step 5: Solve for x
    x = 30,407,390,398.82/180,407
  6. Step 6: Final answer
    x = 168,548.84

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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.