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Finding the Fourth Proportional to 54,370.72, 81,450.64 and 31,826.72

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Solution

The fourth proportional to 54,370.72, 81,450.64 and 31,826.72 is: 47,678.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,370.72 : 81,450.64 = 31,826.72 : x
  2. Step 2: Convert to fraction form
    54,370.72/81,450.64 = 31,826.72/x
  3. Step 3: Cross multiply
    54,370.72x = 81,450.64 × 31,826.72
  4. Step 4: Simplify right side
    54,370.72x = 2,592,306,713.10
  5. Step 5: Solve for x
    x = 2,592,306,713.10/54,370.72
  6. Step 6: Final answer
    x = 47,678.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.