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Finding the Fourth Proportional to 70,498.44, 105,784.80 and 31,082.76

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Solution

The fourth proportional to 70,498.44, 105,784.80 and 31,082.76 is: 46,640.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,498.44 : 105,784.80 = 31,082.76 : x
  2. Step 2: Convert to fraction form
    70,498.44/105,784.80 = 31,082.76/x
  3. Step 3: Cross multiply
    70,498.44x = 105,784.80 × 31,082.76
  4. Step 4: Simplify right side
    70,498.44x = 3,288,083,550.05
  5. Step 5: Solve for x
    x = 3,288,083,550.05/70,498.44
  6. Step 6: Final answer
    x = 46,640.52

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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.