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Finding the Fourth Proportional to 52,863.76, 79,295.64 and 13,421.08

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Solution

The fourth proportional to 52,863.76, 79,295.64 and 13,421.08 is: 20,131.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,863.76 : 79,295.64 = 13,421.08 : x
  2. Step 2: Convert to fraction form
    52,863.76/79,295.64 = 13,421.08/x
  3. Step 3: Cross multiply
    52,863.76x = 79,295.64 × 13,421.08
  4. Step 4: Simplify right side
    52,863.76x = 1,064,233,128.09
  5. Step 5: Solve for x
    x = 1,064,233,128.09/52,863.76
  6. Step 6: Final answer
    x = 20,131.62

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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.