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Finding the Fourth Proportional to 190,713.68, 263,271.48 and 130,382

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Solution

The fourth proportional to 190,713.68, 263,271.48 and 130,382 is: 179,986.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,713.68 : 263,271.48 = 130,382 : x
  2. Step 2: Convert to fraction form
    190,713.68/263,271.48 = 130,382/x
  3. Step 3: Cross multiply
    190,713.68x = 263,271.48 × 130,382
  4. Step 4: Simplify right side
    190,713.68x = 34,325,862,105.36
  5. Step 5: Solve for x
    x = 34,325,862,105.36/190,713.68
  6. Step 6: Final answer
    x = 179,986.37

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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.