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Finding the Fourth Proportional to 280,013.94, 420,156.06 and 137,782.08

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Solution

The fourth proportional to 280,013.94, 420,156.06 and 137,782.08 is: 206,739.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,013.94 : 420,156.06 = 137,782.08 : x
  2. Step 2: Convert to fraction form
    280,013.94/420,156.06 = 137,782.08/x
  3. Step 3: Cross multiply
    280,013.94x = 420,156.06 × 137,782.08
  4. Step 4: Simplify right side
    280,013.94x = 57,889,975,871.40
  5. Step 5: Solve for x
    x = 57,889,975,871.40/280,013.94
  6. Step 6: Final answer
    x = 206,739.62

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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.