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Finding the Fourth Proportional to 126,161.90, 189,238.75 and 51,259.90

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Solution

The fourth proportional to 126,161.90, 189,238.75 and 51,259.90 is: 76,888.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,161.90 : 189,238.75 = 51,259.90 : x
  2. Step 2: Convert to fraction form
    126,161.90/189,238.75 = 51,259.90/x
  3. Step 3: Cross multiply
    126,161.90x = 189,238.75 × 51,259.90
  4. Step 4: Simplify right side
    126,161.90x = 9,700,359,401.13
  5. Step 5: Solve for x
    x = 9,700,359,401.13/126,161.90
  6. Step 6: Final answer
    x = 76,888.18

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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.