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Finding the Fourth Proportional to 130,147.65, 195,221.48 and 36,653.40

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Solution

The fourth proportional to 130,147.65, 195,221.48 and 36,653.40 is: 54,980.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,147.65 : 195,221.48 = 36,653.40 : x
  2. Step 2: Convert to fraction form
    130,147.65/195,221.48 = 36,653.40/x
  3. Step 3: Cross multiply
    130,147.65x = 195,221.48 × 36,653.40
  4. Step 4: Simplify right side
    130,147.65x = 7,155,530,811.77
  5. Step 5: Solve for x
    x = 7,155,530,811.77/130,147.65
  6. Step 6: Final answer
    x = 54,980.10

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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.