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Finding the Fourth Proportional to 137,354.64, 189,527.74 and 80,003.40

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Solution

The fourth proportional to 137,354.64, 189,527.74 and 80,003.40 is: 110,392.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,354.64 : 189,527.74 = 80,003.40 : x
  2. Step 2: Convert to fraction form
    137,354.64/189,527.74 = 80,003.40/x
  3. Step 3: Cross multiply
    137,354.64x = 189,527.74 × 80,003.40
  4. Step 4: Simplify right side
    137,354.64x = 15,162,863,594.32
  5. Step 5: Solve for x
    x = 15,162,863,594.32/137,354.64
  6. Step 6: Final answer
    x = 110,392.07

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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.