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Finding the Fourth Proportional to 205,384.82, 308,073.81 and 70,542.60

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Solution

The fourth proportional to 205,384.82, 308,073.81 and 70,542.60 is: 105,812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,384.82 : 308,073.81 = 70,542.60 : x
  2. Step 2: Convert to fraction form
    205,384.82/308,073.81 = 70,542.60/x
  3. Step 3: Cross multiply
    205,384.82x = 308,073.81 × 70,542.60
  4. Step 4: Simplify right side
    205,384.82x = 21,732,326,063.36
  5. Step 5: Solve for x
    x = 21,732,326,063.36/205,384.82
  6. Step 6: Final answer
    x = 105,812.72

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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.