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Finding the Fourth Proportional to 195,564, 269,878.36 and 106,140

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Solution

The fourth proportional to 195,564, 269,878.36 and 106,140 is: 146,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,564 : 269,878.36 = 106,140 : x
  2. Step 2: Convert to fraction form
    195,564/269,878.36 = 106,140/x
  3. Step 3: Cross multiply
    195,564x = 269,878.36 × 106,140
  4. Step 4: Simplify right side
    195,564x = 28,644,889,130.40
  5. Step 5: Solve for x
    x = 28,644,889,130.40/195,564
  6. Step 6: Final answer
    x = 146,473.22

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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.