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Finding the Fourth Proportional to 143,412.53, 197,679.29 and 97,458.80

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Solution

The fourth proportional to 143,412.53, 197,679.29 and 97,458.80 is: 134,336.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,412.53 : 197,679.29 = 97,458.80 : x
  2. Step 2: Convert to fraction form
    143,412.53/197,679.29 = 97,458.80/x
  3. Step 3: Cross multiply
    143,412.53x = 197,679.29 × 97,458.80
  4. Step 4: Simplify right side
    143,412.53x = 19,265,584,912.56
  5. Step 5: Solve for x
    x = 19,265,584,912.56/143,412.53
  6. Step 6: Final answer
    x = 134,336.84

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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.