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Finding the Fourth Proportional to 198,688.52, 274,291.74 and 153,264.54

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Solution

The fourth proportional to 198,688.52, 274,291.74 and 153,264.54 is: 211,583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,688.52 : 274,291.74 = 153,264.54 : x
  2. Step 2: Convert to fraction form
    198,688.52/274,291.74 = 153,264.54/x
  3. Step 3: Cross multiply
    198,688.52x = 274,291.74 × 153,264.54
  4. Step 4: Simplify right side
    198,688.52x = 42,039,197,356.90
  5. Step 5: Solve for x
    x = 42,039,197,356.90/198,688.52
  6. Step 6: Final answer
    x = 211,583.42

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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.