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Finding the Fourth Proportional to 142,804.56, 197,070 and 82,374.24

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Solution

The fourth proportional to 142,804.56, 197,070 and 82,374.24 is: 113,676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,804.56 : 197,070 = 82,374.24 : x
  2. Step 2: Convert to fraction form
    142,804.56/197,070 = 82,374.24/x
  3. Step 3: Cross multiply
    142,804.56x = 197,070 × 82,374.24
  4. Step 4: Simplify right side
    142,804.56x = 16,233,491,476.80
  5. Step 5: Solve for x
    x = 16,233,491,476.80/142,804.56
  6. Step 6: Final answer
    x = 113,676.28

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1.5x scale

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.