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Finding the Fourth Proportional to 56,485.78, 84,702.37 and 20,945.66

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Solution

The fourth proportional to 56,485.78, 84,702.37 and 20,945.66 is: 31,408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,485.78 : 84,702.37 = 20,945.66 : x
  2. Step 2: Convert to fraction form
    56,485.78/84,702.37 = 20,945.66/x
  3. Step 3: Cross multiply
    56,485.78x = 84,702.37 × 20,945.66
  4. Step 4: Simplify right side
    56,485.78x = 1,774,147,043.21
  5. Step 5: Solve for x
    x = 1,774,147,043.21/56,485.78
  6. Step 6: Final answer
    x = 31,408.74

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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.