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Finding the Fourth Proportional to 143,258.19, 214,980.53 and 54,512.43

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Solution

The fourth proportional to 143,258.19, 214,980.53 and 54,512.43 is: 81,804.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,258.19 : 214,980.53 = 54,512.43 : x
  2. Step 2: Convert to fraction form
    143,258.19/214,980.53 = 54,512.43/x
  3. Step 3: Cross multiply
    143,258.19x = 214,980.53 × 54,512.43
  4. Step 4: Simplify right side
    143,258.19x = 11,719,111,092.99
  5. Step 5: Solve for x
    x = 11,719,111,092.99/143,258.19
  6. Step 6: Final answer
    x = 81,804.13

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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.