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Finding the Fourth Proportional to 54,038.64, 74,573.03 and 31,383.20

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Solution

The fourth proportional to 54,038.64, 74,573.03 and 31,383.20 is: 43,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,038.64 : 74,573.03 = 31,383.20 : x
  2. Step 2: Convert to fraction form
    54,038.64/74,573.03 = 31,383.20/x
  3. Step 3: Cross multiply
    54,038.64x = 74,573.03 × 31,383.20
  4. Step 4: Simplify right side
    54,038.64x = 2,340,340,315.10
  5. Step 5: Solve for x
    x = 2,340,340,315.10/54,038.64
  6. Step 6: Final answer
    x = 43,308.65

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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.