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Finding the Fourth Proportional to 195,133, 269,283.56 and 105,709

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Solution

The fourth proportional to 195,133, 269,283.56 and 105,709 is: 145,878.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,133 : 269,283.56 = 105,709 : x
  2. Step 2: Convert to fraction form
    195,133/269,283.56 = 105,709/x
  3. Step 3: Cross multiply
    195,133x = 269,283.56 × 105,709
  4. Step 4: Simplify right side
    195,133x = 28,465,695,844.04
  5. Step 5: Solve for x
    x = 28,465,695,844.04/195,133
  6. Step 6: Final answer
    x = 145,878.43

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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.