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Finding the Fourth Proportional to 205,287.54, 307,939.80 and 70,444.30

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Solution

The fourth proportional to 205,287.54, 307,939.80 and 70,444.30 is: 105,669.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,287.54 : 307,939.80 = 70,444.30 : x
  2. Step 2: Convert to fraction form
    205,287.54/307,939.80 = 70,444.30/x
  3. Step 3: Cross multiply
    205,287.54x = 307,939.80 × 70,444.30
  4. Step 4: Simplify right side
    205,287.54x = 21,692,603,653.14
  5. Step 5: Solve for x
    x = 21,692,603,653.14/205,287.54
  6. Step 6: Final answer
    x = 105,669.36

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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.