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Finding the Fourth Proportional to 203,352.49, 304,970.40 and 78,664.33

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Solution

The fourth proportional to 203,352.49, 304,970.40 and 78,664.33 is: 117,973.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,352.49 : 304,970.40 = 78,664.33 : x
  2. Step 2: Convert to fraction form
    203,352.49/304,970.40 = 78,664.33/x
  3. Step 3: Cross multiply
    203,352.49x = 304,970.40 × 78,664.33
  4. Step 4: Simplify right side
    203,352.49x = 23,990,292,185.83
  5. Step 5: Solve for x
    x = 23,990,292,185.83/203,352.49
  6. Step 6: Final answer
    x = 117,973.93

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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.