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Finding the Fourth Proportional to 136,784.80, 205,004.40 and 99,805.60

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Solution

The fourth proportional to 136,784.80, 205,004.40 and 99,805.60 is: 149,582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,784.80 : 205,004.40 = 99,805.60 : x
  2. Step 2: Convert to fraction form
    136,784.80/205,004.40 = 99,805.60/x
  3. Step 3: Cross multiply
    136,784.80x = 205,004.40 × 99,805.60
  4. Step 4: Simplify right side
    136,784.80x = 20,460,587,144.64
  5. Step 5: Solve for x
    x = 20,460,587,144.64/136,784.80
  6. Step 6: Final answer
    x = 149,582.32

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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.