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Finding the Fourth Proportional to 78,054.17, 117,059.97 and 21,890.79

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Solution

The fourth proportional to 78,054.17, 117,059.97 and 21,890.79 is: 32,830.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,054.17 : 117,059.97 = 21,890.79 : x
  2. Step 2: Convert to fraction form
    78,054.17/117,059.97 = 21,890.79/x
  3. Step 3: Cross multiply
    78,054.17x = 117,059.97 × 21,890.79
  4. Step 4: Simplify right side
    78,054.17x = 2,562,535,220.68
  5. Step 5: Solve for x
    x = 2,562,535,220.68/78,054.17
  6. Step 6: Final answer
    x = 32,830.22

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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.