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Finding the Fourth Proportional to 56,685.78, 85,007.16 and 16,693.77

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Solution

The fourth proportional to 56,685.78, 85,007.16 and 16,693.77 is: 25,034.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,685.78 : 85,007.16 = 16,693.77 : x
  2. Step 2: Convert to fraction form
    56,685.78/85,007.16 = 16,693.77/x
  3. Step 3: Cross multiply
    56,685.78x = 85,007.16 × 16,693.77
  4. Step 4: Simplify right side
    56,685.78x = 1,419,089,977.39
  5. Step 5: Solve for x
    x = 1,419,089,977.39/56,685.78
  6. Step 6: Final answer
    x = 25,034.32

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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.