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Finding the Fourth Proportional to 200,835.52, 300,851.64 and 120,829.36

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Solution

The fourth proportional to 200,835.52, 300,851.64 and 120,829.36 is: 181,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,835.52 : 300,851.64 = 120,829.36 : x
  2. Step 2: Convert to fraction form
    200,835.52/300,851.64 = 120,829.36/x
  3. Step 3: Cross multiply
    200,835.52x = 300,851.64 × 120,829.36
  4. Step 4: Simplify right side
    200,835.52x = 36,351,711,116.15
  5. Step 5: Solve for x
    x = 36,351,711,116.15/200,835.52
  6. Step 6: Final answer
    x = 181,002.40

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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.