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Finding the Fourth Proportional to 137,840.40, 206,760.60 and 67,856.40

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Solution

The fourth proportional to 137,840.40, 206,760.60 and 67,856.40 is: 101,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,840.40 : 206,760.60 = 67,856.40 : x
  2. Step 2: Convert to fraction form
    137,840.40/206,760.60 = 67,856.40/x
  3. Step 3: Cross multiply
    137,840.40x = 206,760.60 × 67,856.40
  4. Step 4: Simplify right side
    137,840.40x = 14,030,029,977.84
  5. Step 5: Solve for x
    x = 14,030,029,977.84/137,840.40
  6. Step 6: Final answer
    x = 101,784.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.