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Finding the Fourth Proportional to 205,044.80, 307,221.60 and 99,636.80

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Solution

The fourth proportional to 205,044.80, 307,221.60 and 99,636.80 is: 149,287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,044.80 : 307,221.60 = 99,636.80 : x
  2. Step 2: Convert to fraction form
    205,044.80/307,221.60 = 99,636.80/x
  3. Step 3: Cross multiply
    205,044.80x = 307,221.60 × 99,636.80
  4. Step 4: Simplify right side
    205,044.80x = 30,610,577,114.88
  5. Step 5: Solve for x
    x = 30,610,577,114.88/205,044.80
  6. Step 6: Final answer
    x = 149,287.26

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1.5x scale

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.