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Finding the Fourth Proportional to 137,515.98, 189,864.86 and 85,912.00

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Solution

The fourth proportional to 137,515.98, 189,864.86 and 85,912.00 is: 118,616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,515.98 : 189,864.86 = 85,912.00 : x
  2. Step 2: Convert to fraction form
    137,515.98/189,864.86 = 85,912.00/x
  3. Step 3: Cross multiply
    137,515.98x = 189,864.86 × 85,912.00
  4. Step 4: Simplify right side
    137,515.98x = 16,311,670,766.34
  5. Step 5: Solve for x
    x = 16,311,670,766.34/137,515.98
  6. Step 6: Final answer
    x = 118,616.55

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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.