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Finding the Fourth Proportional to 55,289, 76,298.84 and 31,415.70

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Solution

The fourth proportional to 55,289, 76,298.84 and 31,415.70 is: 43,353.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,289 : 76,298.84 = 31,415.70 : x
  2. Step 2: Convert to fraction form
    55,289/76,298.84 = 31,415.70/x
  3. Step 3: Cross multiply
    55,289x = 76,298.84 × 31,415.70
  4. Step 4: Simplify right side
    55,289x = 2,396,981,467.79
  5. Step 5: Solve for x
    x = 2,396,981,467.79/55,289
  6. Step 6: Final answer
    x = 43,353.68

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1.5x scale

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.