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Finding the Fourth Proportional to 74,692.30, 102,933.60 and 53,434.66

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Solution

The fourth proportional to 74,692.30, 102,933.60 and 53,434.66 is: 73,638.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,692.30 : 102,933.60 = 53,434.66 : x
  2. Step 2: Convert to fraction form
    74,692.30/102,933.60 = 53,434.66/x
  3. Step 3: Cross multiply
    74,692.30x = 102,933.60 × 53,434.66
  4. Step 4: Simplify right side
    74,692.30x = 5,500,221,918.58
  5. Step 5: Solve for x
    x = 5,500,221,918.58/74,692.30
  6. Step 6: Final answer
    x = 73,638.41

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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.