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Finding the Fourth Proportional to 104,428.67, 144,111.69 and 56,682

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Solution

The fourth proportional to 104,428.67, 144,111.69 and 56,682 is: 78,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,428.67 : 144,111.69 = 56,682 : x
  2. Step 2: Convert to fraction form
    104,428.67/144,111.69 = 56,682/x
  3. Step 3: Cross multiply
    104,428.67x = 144,111.69 × 56,682
  4. Step 4: Simplify right side
    104,428.67x = 8,168,538,812.58
  5. Step 5: Solve for x
    x = 8,168,538,812.58/104,428.67
  6. Step 6: Final answer
    x = 78,221.23

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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.