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Finding the Fourth Proportional to 282,139.96, 389,337.68 and 154,805.54

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Solution

The fourth proportional to 282,139.96, 389,337.68 and 154,805.54 is: 213,623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,139.96 : 389,337.68 = 154,805.54 : x
  2. Step 2: Convert to fraction form
    282,139.96/389,337.68 = 154,805.54/x
  3. Step 3: Cross multiply
    282,139.96x = 389,337.68 × 154,805.54
  4. Step 4: Simplify right side
    282,139.96x = 60,271,629,794.75
  5. Step 5: Solve for x
    x = 60,271,629,794.75/282,139.96
  6. Step 6: Final answer
    x = 213,623.16

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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.