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Finding the Fourth Proportional to 130,959.52, 196,538.16 and 104,978

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Solution

The fourth proportional to 130,959.52, 196,538.16 and 104,978 is: 157,546.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,959.52 : 196,538.16 = 104,978 : x
  2. Step 2: Convert to fraction form
    130,959.52/196,538.16 = 104,978/x
  3. Step 3: Cross multiply
    130,959.52x = 196,538.16 × 104,978
  4. Step 4: Simplify right side
    130,959.52x = 20,632,182,960.48
  5. Step 5: Solve for x
    x = 20,632,182,960.48/130,959.52
  6. Step 6: Final answer
    x = 157,546.26

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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.