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Finding the Fourth Proportional to 54,378.72, 81,462.64 and 31,834.72

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Solution

The fourth proportional to 54,378.72, 81,462.64 and 31,834.72 is: 47,690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,378.72 : 81,462.64 = 31,834.72 : x
  2. Step 2: Convert to fraction form
    54,378.72/81,462.64 = 31,834.72/x
  3. Step 3: Cross multiply
    54,378.72x = 81,462.64 × 31,834.72
  4. Step 4: Simplify right side
    54,378.72x = 2,593,340,334.86
  5. Step 5: Solve for x
    x = 2,593,340,334.86/54,378.72
  6. Step 6: Final answer
    x = 47,690.35

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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.