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Finding the Fourth Proportional to 52,659.60, 78,986.97 and 13,215.84

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Solution

The fourth proportional to 52,659.60, 78,986.97 and 13,215.84 is: 19,823.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,659.60 : 78,986.97 = 13,215.84 : x
  2. Step 2: Convert to fraction form
    52,659.60/78,986.97 = 13,215.84/x
  3. Step 3: Cross multiply
    52,659.60x = 78,986.97 × 13,215.84
  4. Step 4: Simplify right side
    52,659.60x = 1,043,879,157.60
  5. Step 5: Solve for x
    x = 1,043,879,157.60/52,659.60
  6. Step 6: Final answer
    x = 19,823.15

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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.