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Finding the Fourth Proportional to 51,645.60, 77,494 and 20,480.16

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Solution

The fourth proportional to 51,645.60, 77,494 and 20,480.16 is: 30,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,645.60 : 77,494 = 20,480.16 : x
  2. Step 2: Convert to fraction form
    51,645.60/77,494 = 20,480.16/x
  3. Step 3: Cross multiply
    51,645.60x = 77,494 × 20,480.16
  4. Step 4: Simplify right side
    51,645.60x = 1,587,089,519.04
  5. Step 5: Solve for x
    x = 1,587,089,519.04/51,645.60
  6. Step 6: Final answer
    x = 30,730.39

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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.