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Finding the Fourth Proportional to 104,283.90, 143,912.52 and 56,538

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Solution

The fourth proportional to 104,283.90, 143,912.52 and 56,538 is: 78,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,283.90 : 143,912.52 = 56,538 : x
  2. Step 2: Convert to fraction form
    104,283.90/143,912.52 = 56,538/x
  3. Step 3: Cross multiply
    104,283.90x = 143,912.52 × 56,538
  4. Step 4: Simplify right side
    104,283.90x = 8,136,526,055.76
  5. Step 5: Solve for x
    x = 8,136,526,055.76/104,283.90
  6. Step 6: Final answer
    x = 78,022.84

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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.