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Finding the Fourth Proportional to 130,775, 196,164.33 and 37,280.75

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Solution

The fourth proportional to 130,775, 196,164.33 and 37,280.75 is: 55,921.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,775 : 196,164.33 = 37,280.75 : x
  2. Step 2: Convert to fraction form
    130,775/196,164.33 = 37,280.75/x
  3. Step 3: Cross multiply
    130,775x = 196,164.33 × 37,280.75
  4. Step 4: Simplify right side
    130,775x = 7,313,153,159.24
  5. Step 5: Solve for x
    x = 7,313,153,159.24/130,775
  6. Step 6: Final answer
    x = 55,921.65

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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.