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Finding the Fourth Proportional to 56,466.40, 77,928.40 and 31,324

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Solution

The fourth proportional to 56,466.40, 77,928.40 and 31,324 is: 43,229.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,466.40 : 77,928.40 = 31,324 : x
  2. Step 2: Convert to fraction form
    56,466.40/77,928.40 = 31,324/x
  3. Step 3: Cross multiply
    56,466.40x = 77,928.40 × 31,324
  4. Step 4: Simplify right side
    56,466.40x = 2,441,029,201.60
  5. Step 5: Solve for x
    x = 2,441,029,201.60/56,466.40
  6. Step 6: Final answer
    x = 43,229.76

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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.