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Finding the Fourth Proportional to 56,832, 78,428.16 and 31,683.12

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Solution

The fourth proportional to 56,832, 78,428.16 and 31,683.12 is: 43,722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,832 : 78,428.16 = 31,683.12 : x
  2. Step 2: Convert to fraction form
    56,832/78,428.16 = 31,683.12/x
  3. Step 3: Cross multiply
    56,832x = 78,428.16 × 31,683.12
  4. Step 4: Simplify right side
    56,832x = 2,484,848,804.66
  5. Step 5: Solve for x
    x = 2,484,848,804.66/56,832
  6. Step 6: Final answer
    x = 43,722.71

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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.