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Finding the Fourth Proportional to 180,066, 270,102.66 and 55,407

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Solution

The fourth proportional to 180,066, 270,102.66 and 55,407 is: 83,111.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,066 : 270,102.66 = 55,407 : x
  2. Step 2: Convert to fraction form
    180,066/270,102.66 = 55,407/x
  3. Step 3: Cross multiply
    180,066x = 270,102.66 × 55,407
  4. Step 4: Simplify right side
    180,066x = 14,965,578,082.62
  5. Step 5: Solve for x
    x = 14,965,578,082.62/180,066
  6. Step 6: Final answer
    x = 83,111.63

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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.