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Finding the Fourth Proportional to 203,689.50, 281,091.52 and 114,265.50

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Solution

The fourth proportional to 203,689.50, 281,091.52 and 114,265.50 is: 157,686.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,689.50 : 281,091.52 = 114,265.50 : x
  2. Step 2: Convert to fraction form
    203,689.50/281,091.52 = 114,265.50/x
  3. Step 3: Cross multiply
    203,689.50x = 281,091.52 × 114,265.50
  4. Step 4: Simplify right side
    203,689.50x = 32,119,063,078.56
  5. Step 5: Solve for x
    x = 32,119,063,078.56/203,689.50
  6. Step 6: Final answer
    x = 157,686.40

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1.5x scale

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.