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Finding the Fourth Proportional to 52,581.80, 78,894.30 and 19,317.80

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Solution

The fourth proportional to 52,581.80, 78,894.30 and 19,317.80 is: 28,984.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,581.80 : 78,894.30 = 19,317.80 : x
  2. Step 2: Convert to fraction form
    52,581.80/78,894.30 = 19,317.80/x
  3. Step 3: Cross multiply
    52,581.80x = 78,894.30 × 19,317.80
  4. Step 4: Simplify right side
    52,581.80x = 1,524,064,308.54
  5. Step 5: Solve for x
    x = 1,524,064,308.54/52,581.80
  6. Step 6: Final answer
    x = 28,984.64

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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.