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Finding the Fourth Proportional to 130,790, 196,186.82 and 37,295.75

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Solution

The fourth proportional to 130,790, 196,186.82 and 37,295.75 is: 55,944.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,790 : 196,186.82 = 37,295.75 : x
  2. Step 2: Convert to fraction form
    130,790/196,186.82 = 37,295.75/x
  3. Step 3: Cross multiply
    130,790x = 196,186.82 × 37,295.75
  4. Step 4: Simplify right side
    130,790x = 7,316,934,592.02
  5. Step 5: Solve for x
    x = 7,316,934,592.02/130,790
  6. Step 6: Final answer
    x = 55,944.14

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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.