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Finding the Fourth Proportional to 195,578, 269,897.88 and 106,154

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Solution

The fourth proportional to 195,578, 269,897.88 and 106,154 is: 146,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,578 : 269,897.88 = 106,154 : x
  2. Step 2: Convert to fraction form
    195,578/269,897.88 = 106,154/x
  3. Step 3: Cross multiply
    195,578x = 269,897.88 × 106,154
  4. Step 4: Simplify right side
    195,578x = 28,650,739,553.52
  5. Step 5: Solve for x
    x = 28,650,739,553.52/195,578
  6. Step 6: Final answer
    x = 146,492.65

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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.