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Finding the Fourth Proportional to 143,102.40, 214,480.80 and 72,945.60

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Solution

The fourth proportional to 143,102.40, 214,480.80 and 72,945.60 is: 109,330.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,102.40 : 214,480.80 = 72,945.60 : x
  2. Step 2: Convert to fraction form
    143,102.40/214,480.80 = 72,945.60/x
  3. Step 3: Cross multiply
    143,102.40x = 214,480.80 × 72,945.60
  4. Step 4: Simplify right side
    143,102.40x = 15,645,430,644.48
  5. Step 5: Solve for x
    x = 15,645,430,644.48/143,102.40
  6. Step 6: Final answer
    x = 109,330.32

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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.