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Finding the Fourth Proportional to 205,496.40, 308,215.21 and 70,557.94

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Solution

The fourth proportional to 205,496.40, 308,215.21 and 70,557.94 is: 105,826.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,496.40 : 308,215.21 = 70,557.94 : x
  2. Step 2: Convert to fraction form
    205,496.40/308,215.21 = 70,557.94/x
  3. Step 3: Cross multiply
    205,496.40x = 308,215.21 × 70,557.94
  4. Step 4: Simplify right side
    205,496.40x = 21,747,030,503.14
  5. Step 5: Solve for x
    x = 21,747,030,503.14/205,496.40
  6. Step 6: Final answer
    x = 105,826.82

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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.