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Finding the Fourth Proportional to 203,686.93, 281,091 and 113,048.74

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Solution

The fourth proportional to 203,686.93, 281,091 and 113,048.74 is: 156,008.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,686.93 : 281,091 = 113,048.74 : x
  2. Step 2: Convert to fraction form
    203,686.93/281,091 = 113,048.74/x
  3. Step 3: Cross multiply
    203,686.93x = 281,091 × 113,048.74
  4. Step 4: Simplify right side
    203,686.93x = 31,776,983,375.34
  5. Step 5: Solve for x
    x = 31,776,983,375.34/203,686.93
  6. Step 6: Final answer
    x = 156,008.95

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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.