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Finding the Fourth Proportional to 50,692.80, 75,985.74 and 21,080.82

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Solution

The fourth proportional to 50,692.80, 75,985.74 and 21,080.82 is: 31,599.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,692.80 : 75,985.74 = 21,080.82 : x
  2. Step 2: Convert to fraction form
    50,692.80/75,985.74 = 21,080.82/x
  3. Step 3: Cross multiply
    50,692.80x = 75,985.74 × 21,080.82
  4. Step 4: Simplify right side
    50,692.80x = 1,601,841,707.51
  5. Step 5: Solve for x
    x = 1,601,841,707.51/50,692.80
  6. Step 6: Final answer
    x = 31,599.00

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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.