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Finding the Fourth Proportional to 52,830, 79,190.40 and 17,757.84

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Solution

The fourth proportional to 52,830, 79,190.40 and 17,757.84 is: 26,618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,830 : 79,190.40 = 17,757.84 : x
  2. Step 2: Convert to fraction form
    52,830/79,190.40 = 17,757.84/x
  3. Step 3: Cross multiply
    52,830x = 79,190.40 × 17,757.84
  4. Step 4: Simplify right side
    52,830x = 1,406,250,452.74
  5. Step 5: Solve for x
    x = 1,406,250,452.74/52,830
  6. Step 6: Final answer
    x = 26,618.41

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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.