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Finding the Fourth Proportional to 51,600, 77,403.66 and 20,435.25

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Solution

The fourth proportional to 51,600, 77,403.66 and 20,435.25 is: 30,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,600 : 77,403.66 = 20,435.25 : x
  2. Step 2: Convert to fraction form
    51,600/77,403.66 = 20,435.25/x
  3. Step 3: Cross multiply
    51,600x = 77,403.66 × 20,435.25
  4. Step 4: Simplify right side
    51,600x = 1,581,763,143.02
  5. Step 5: Solve for x
    x = 1,581,763,143.02/51,600
  6. Step 6: Final answer
    x = 30,654.32

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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.