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Finding the Fourth Proportional to 189,659.76, 261,735.75 and 104,782.29

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Solution

The fourth proportional to 189,659.76, 261,735.75 and 104,782.29 is: 144,602.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,659.76 : 261,735.75 = 104,782.29 : x
  2. Step 2: Convert to fraction form
    189,659.76/261,735.75 = 104,782.29/x
  3. Step 3: Cross multiply
    189,659.76x = 261,735.75 × 104,782.29
  4. Step 4: Simplify right side
    189,659.76x = 27,425,271,259.87
  5. Step 5: Solve for x
    x = 27,425,271,259.87/189,659.76
  6. Step 6: Final answer
    x = 144,602.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.