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Finding the Fourth Proportional to 78,063.84, 117,103.68 and 21,904.11

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Solution

The fourth proportional to 78,063.84, 117,103.68 and 21,904.11 is: 32,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,063.84 : 117,103.68 = 21,904.11 : x
  2. Step 2: Convert to fraction form
    78,063.84/117,103.68 = 21,904.11/x
  3. Step 3: Cross multiply
    78,063.84x = 117,103.68 × 21,904.11
  4. Step 4: Simplify right side
    78,063.84x = 2,565,051,888.12
  5. Step 5: Solve for x
    x = 2,565,051,888.12/78,063.84
  6. Step 6: Final answer
    x = 32,858.39

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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.