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Finding the Fourth Proportional to 56,720, 78,273.60 and 31,568.96

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Solution

The fourth proportional to 56,720, 78,273.60 and 31,568.96 is: 43,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,720 : 78,273.60 = 31,568.96 : x
  2. Step 2: Convert to fraction form
    56,720/78,273.60 = 31,568.96/x
  3. Step 3: Cross multiply
    56,720x = 78,273.60 × 31,568.96
  4. Step 4: Simplify right side
    56,720x = 2,471,016,147.46
  5. Step 5: Solve for x
    x = 2,471,016,147.46/56,720
  6. Step 6: Final answer
    x = 43,565.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.