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Finding the Fourth Proportional to 54,240.32, 74,846.88 and 31,880

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Solution

The fourth proportional to 54,240.32, 74,846.88 and 31,880 is: 43,991.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,240.32 : 74,846.88 = 31,880 : x
  2. Step 2: Convert to fraction form
    54,240.32/74,846.88 = 31,880/x
  3. Step 3: Cross multiply
    54,240.32x = 74,846.88 × 31,880
  4. Step 4: Simplify right side
    54,240.32x = 2,386,118,534.40
  5. Step 5: Solve for x
    x = 2,386,118,534.40/54,240.32
  6. Step 6: Final answer
    x = 43,991.60

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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.