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Finding the Fourth Proportional to 52,346.88, 78,394.92 and 28,618.80

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Solution

The fourth proportional to 52,346.88, 78,394.92 and 28,618.80 is: 42,859.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,346.88 : 78,394.92 = 28,618.80 : x
  2. Step 2: Convert to fraction form
    52,346.88/78,394.92 = 28,618.80/x
  3. Step 3: Cross multiply
    52,346.88x = 78,394.92 × 28,618.80
  4. Step 4: Simplify right side
    52,346.88x = 2,243,568,536.50
  5. Step 5: Solve for x
    x = 2,243,568,536.50/52,346.88
  6. Step 6: Final answer
    x = 42,859.64

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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.