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Finding the Fourth Proportional to 130,804, 196,207.86 and 37,309.78

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Solution

The fourth proportional to 130,804, 196,207.86 and 37,309.78 is: 55,965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,804 : 196,207.86 = 37,309.78 : x
  2. Step 2: Convert to fraction form
    130,804/196,207.86 = 37,309.78/x
  3. Step 3: Cross multiply
    130,804x = 196,207.86 × 37,309.78
  4. Step 4: Simplify right side
    130,804x = 7,320,472,090.87
  5. Step 5: Solve for x
    x = 7,320,472,090.87/130,804
  6. Step 6: Final answer
    x = 55,965.20

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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.