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Finding the Fourth Proportional to 269,636, 372,097.32 and 148,777.24

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Solution

The fourth proportional to 269,636, 372,097.32 and 148,777.24 is: 205,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,636 : 372,097.32 = 148,777.24 : x
  2. Step 2: Convert to fraction form
    269,636/372,097.32 = 148,777.24/x
  3. Step 3: Cross multiply
    269,636x = 372,097.32 × 148,777.24
  4. Step 4: Simplify right side
    269,636x = 55,359,612,281.00
  5. Step 5: Solve for x
    x = 55,359,612,281.00/269,636
  6. Step 6: Final answer
    x = 205,312.39

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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.