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Finding the Fourth Proportional to 77,872.96, 116,815.68 and 31,100.16

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Solution

The fourth proportional to 77,872.96, 116,815.68 and 31,100.16 is: 46,652.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,872.96 : 116,815.68 = 31,100.16 : x
  2. Step 2: Convert to fraction form
    77,872.96/116,815.68 = 31,100.16/x
  3. Step 3: Cross multiply
    77,872.96x = 116,815.68 × 31,100.16
  4. Step 4: Simplify right side
    77,872.96x = 3,632,986,338.51
  5. Step 5: Solve for x
    x = 3,632,986,338.51/77,872.96
  6. Step 6: Final answer
    x = 46,652.73

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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.