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Finding the Fourth Proportional to 206,652.40, 285,193.07 and 137,623.49

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Solution

The fourth proportional to 206,652.40, 285,193.07 and 137,623.49 is: 189,928.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,652.40 : 285,193.07 = 137,623.49 : x
  2. Step 2: Convert to fraction form
    206,652.40/285,193.07 = 137,623.49/x
  3. Step 3: Cross multiply
    206,652.40x = 285,193.07 × 137,623.49
  4. Step 4: Simplify right side
    206,652.40x = 39,249,265,088.69
  5. Step 5: Solve for x
    x = 39,249,265,088.69/206,652.40
  6. Step 6: Final answer
    x = 189,928.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.