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Finding the Fourth Proportional to 201,852.78, 302,552.87 and 81,881.86

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Solution

The fourth proportional to 201,852.78, 302,552.87 and 81,881.86 is: 122,730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,852.78 : 302,552.87 = 81,881.86 : x
  2. Step 2: Convert to fraction form
    201,852.78/302,552.87 = 81,881.86/x
  3. Step 3: Cross multiply
    201,852.78x = 302,552.87 × 81,881.86
  4. Step 4: Simplify right side
    201,852.78x = 24,773,591,743.94
  5. Step 5: Solve for x
    x = 24,773,591,743.94/201,852.78
  6. Step 6: Final answer
    x = 122,730.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.