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Finding the Fourth Proportional to 130,801, 196,203.36 and 37,306.78

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Solution

The fourth proportional to 130,801, 196,203.36 and 37,306.78 is: 55,960.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,801 : 196,203.36 = 37,306.78 : x
  2. Step 2: Convert to fraction form
    130,801/196,203.36 = 37,306.78/x
  3. Step 3: Cross multiply
    130,801x = 196,203.36 × 37,306.78
  4. Step 4: Simplify right side
    130,801x = 7,319,715,586.78
  5. Step 5: Solve for x
    x = 7,319,715,586.78/130,801
  6. Step 6: Final answer
    x = 55,960.70

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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.