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Finding the Fourth Proportional to 78,322, 108,084.48 and 44,788.72

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Solution

The fourth proportional to 78,322, 108,084.48 and 44,788.72 is: 61,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,322 : 108,084.48 = 44,788.72 : x
  2. Step 2: Convert to fraction form
    78,322/108,084.48 = 44,788.72/x
  3. Step 3: Cross multiply
    78,322x = 108,084.48 × 44,788.72
  4. Step 4: Simplify right side
    78,322x = 4,840,965,511.07
  5. Step 5: Solve for x
    x = 4,840,965,511.07/78,322
  6. Step 6: Final answer
    x = 61,808.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.