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Finding the Fourth Proportional to 131,538.56, 197,221.12 and 47,256.48

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Solution

The fourth proportional to 131,538.56, 197,221.12 and 47,256.48 is: 70,853.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,538.56 : 197,221.12 = 47,256.48 : x
  2. Step 2: Convert to fraction form
    131,538.56/197,221.12 = 47,256.48/x
  3. Step 3: Cross multiply
    131,538.56x = 197,221.12 × 47,256.48
  4. Step 4: Simplify right side
    131,538.56x = 9,319,975,912.86
  5. Step 5: Solve for x
    x = 9,319,975,912.86/131,538.56
  6. Step 6: Final answer
    x = 70,853.57

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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.