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Finding the Fourth Proportional to 142,969.68, 197,294.28 and 82,538.28

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Solution

The fourth proportional to 142,969.68, 197,294.28 and 82,538.28 is: 113,900.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,969.68 : 197,294.28 = 82,538.28 : x
  2. Step 2: Convert to fraction form
    142,969.68/197,294.28 = 82,538.28/x
  3. Step 3: Cross multiply
    142,969.68x = 197,294.28 × 82,538.28
  4. Step 4: Simplify right side
    142,969.68x = 16,284,330,525.04
  5. Step 5: Solve for x
    x = 16,284,330,525.04/142,969.68
  6. Step 6: Final answer
    x = 113,900.59

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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.