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Finding the Fourth Proportional to 142,980.65, 197,322.24 and 82,562.34

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Solution

The fourth proportional to 142,980.65, 197,322.24 and 82,562.34 is: 113,941.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,980.65 : 197,322.24 = 82,562.34 : x
  2. Step 2: Convert to fraction form
    142,980.65/197,322.24 = 82,562.34/x
  3. Step 3: Cross multiply
    142,980.65x = 197,322.24 × 82,562.34
  4. Step 4: Simplify right side
    142,980.65x = 16,291,385,868.44
  5. Step 5: Solve for x
    x = 16,291,385,868.44/142,980.65
  6. Step 6: Final answer
    x = 113,941.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.