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Finding the Fourth Proportional to 201,640.52, 302,461.64 and 81,699.80

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Solution

The fourth proportional to 201,640.52, 302,461.64 and 81,699.80 is: 122,550.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,640.52 : 302,461.64 = 81,699.80 : x
  2. Step 2: Convert to fraction form
    201,640.52/302,461.64 = 81,699.80/x
  3. Step 3: Cross multiply
    201,640.52x = 302,461.64 × 81,699.80
  4. Step 4: Simplify right side
    201,640.52x = 24,711,055,495.67
  5. Step 5: Solve for x
    x = 24,711,055,495.67/201,640.52
  6. Step 6: Final answer
    x = 122,550.05

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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.