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Finding the Fourth Proportional to 200,073.02, 299,776.31 and 140,784.11

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Solution

The fourth proportional to 200,073.02, 299,776.31 and 140,784.11 is: 210,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,073.02 : 299,776.31 = 140,784.11 : x
  2. Step 2: Convert to fraction form
    200,073.02/299,776.31 = 140,784.11/x
  3. Step 3: Cross multiply
    200,073.02x = 299,776.31 × 140,784.11
  4. Step 4: Simplify right side
    200,073.02x = 42,203,738,799.63
  5. Step 5: Solve for x
    x = 42,203,738,799.63/200,073.02
  6. Step 6: Final answer
    x = 210,941.68

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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.