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Finding the Fourth Proportional to 103,813.84, 143,113.80 and 73,954

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Solution

The fourth proportional to 103,813.84, 143,113.80 and 73,954 is: 101,950.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,813.84 : 143,113.80 = 73,954 : x
  2. Step 2: Convert to fraction form
    103,813.84/143,113.80 = 73,954/x
  3. Step 3: Cross multiply
    103,813.84x = 143,113.80 × 73,954
  4. Step 4: Simplify right side
    103,813.84x = 10,583,837,965.20
  5. Step 5: Solve for x
    x = 10,583,837,965.20/103,813.84
  6. Step 6: Final answer
    x = 101,950.16

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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.