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Finding the Fourth Proportional to 53,160, 79,692.96 and 19,857.60

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Solution

The fourth proportional to 53,160, 79,692.96 and 19,857.60 is: 29,768.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,160 : 79,692.96 = 19,857.60 : x
  2. Step 2: Convert to fraction form
    53,160/79,692.96 = 19,857.60/x
  3. Step 3: Cross multiply
    53,160x = 79,692.96 × 19,857.60
  4. Step 4: Simplify right side
    53,160x = 1,582,510,922.50
  5. Step 5: Solve for x
    x = 1,582,510,922.50/53,160
  6. Step 6: Final answer
    x = 29,768.83

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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.