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Finding the Fourth Proportional to 130,141.80, 195,212.70 and 36,647.55

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Solution

The fourth proportional to 130,141.80, 195,212.70 and 36,647.55 is: 54,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,141.80 : 195,212.70 = 36,647.55 : x
  2. Step 2: Convert to fraction form
    130,141.80/195,212.70 = 36,647.55/x
  3. Step 3: Cross multiply
    130,141.80x = 195,212.70 × 36,647.55
  4. Step 4: Simplify right side
    130,141.80x = 7,154,067,183.89
  5. Step 5: Solve for x
    x = 7,154,067,183.89/130,141.80
  6. Step 6: Final answer
    x = 54,971.33

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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.