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Finding the Fourth Proportional to 131,397.95, 197,096.90 and 75,198.84

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Solution

The fourth proportional to 131,397.95, 197,096.90 and 75,198.84 is: 112,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,397.95 : 197,096.90 = 75,198.84 : x
  2. Step 2: Convert to fraction form
    131,397.95/197,096.90 = 75,198.84/x
  3. Step 3: Cross multiply
    131,397.95x = 197,096.90 × 75,198.84
  4. Step 4: Simplify right side
    131,397.95x = 14,821,457,871.60
  5. Step 5: Solve for x
    x = 14,821,457,871.60/131,397.95
  6. Step 6: Final answer
    x = 112,798.25

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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.