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Finding the Fourth Proportional to 78,558.84, 117,838.50 and 19,394.51

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Solution

The fourth proportional to 78,558.84, 117,838.50 and 19,394.51 is: 29,091.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,558.84 : 117,838.50 = 19,394.51 : x
  2. Step 2: Convert to fraction form
    78,558.84/117,838.50 = 19,394.51/x
  3. Step 3: Cross multiply
    78,558.84x = 117,838.50 × 19,394.51
  4. Step 4: Simplify right side
    78,558.84x = 2,285,419,869.66
  5. Step 5: Solve for x
    x = 2,285,419,869.66/78,558.84
  6. Step 6: Final answer
    x = 29,091.82

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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.