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Finding the Fourth Proportional to 269,672, 372,147.06 and 148,813.24

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Solution

The fourth proportional to 269,672, 372,147.06 and 148,813.24 is: 205,362.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,672 : 372,147.06 = 148,813.24 : x
  2. Step 2: Convert to fraction form
    269,672/372,147.06 = 148,813.24/x
  3. Step 3: Cross multiply
    269,672x = 372,147.06 × 148,813.24
  4. Step 4: Simplify right side
    269,672x = 55,380,409,755.07
  5. Step 5: Solve for x
    x = 55,380,409,755.07/269,672
  6. Step 6: Final answer
    x = 205,362.11

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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.