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Finding the Fourth Proportional to 198,686.42, 274,288.80 and 153,262.42

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Solution

The fourth proportional to 198,686.42, 274,288.80 and 153,262.42 is: 211,580.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,686.42 : 274,288.80 = 153,262.42 : x
  2. Step 2: Convert to fraction form
    198,686.42/274,288.80 = 153,262.42/x
  3. Step 3: Cross multiply
    198,686.42x = 274,288.80 × 153,262.42
  4. Step 4: Simplify right side
    198,686.42x = 42,038,165,266.90
  5. Step 5: Solve for x
    x = 42,038,165,266.90/198,686.42
  6. Step 6: Final answer
    x = 211,580.47

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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.