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Finding the Fourth Proportional to 143,139.40, 214,709.10 and 73,009.60

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Solution

The fourth proportional to 143,139.40, 214,709.10 and 73,009.60 is: 109,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,139.40 : 214,709.10 = 73,009.60 : x
  2. Step 2: Convert to fraction form
    143,139.40/214,709.10 = 73,009.60/x
  3. Step 3: Cross multiply
    143,139.40x = 214,709.10 × 73,009.60
  4. Step 4: Simplify right side
    143,139.40x = 15,675,825,507.36
  5. Step 5: Solve for x
    x = 15,675,825,507.36/143,139.40
  6. Step 6: Final answer
    x = 109,514.40

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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.