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Finding the Fourth Proportional to 143,045.34, 197,356.95 and 82,608

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Solution

The fourth proportional to 143,045.34, 197,356.95 and 82,608 is: 113,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,045.34 : 197,356.95 = 82,608 : x
  2. Step 2: Convert to fraction form
    143,045.34/197,356.95 = 82,608/x
  3. Step 3: Cross multiply
    143,045.34x = 197,356.95 × 82,608
  4. Step 4: Simplify right side
    143,045.34x = 16,303,262,925.60
  5. Step 5: Solve for x
    x = 16,303,262,925.60/143,045.34
  6. Step 6: Final answer
    x = 113,972.70

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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.