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Finding the Fourth Proportional to 55,470.58, 83,238.84 and 20,434.84

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Solution

The fourth proportional to 55,470.58, 83,238.84 and 20,434.84 is: 30,664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,470.58 : 83,238.84 = 20,434.84 : x
  2. Step 2: Convert to fraction form
    55,470.58/83,238.84 = 20,434.84/x
  3. Step 3: Cross multiply
    55,470.58x = 83,238.84 × 20,434.84
  4. Step 4: Simplify right side
    55,470.58x = 1,700,972,377.19
  5. Step 5: Solve for x
    x = 1,700,972,377.19/55,470.58
  6. Step 6: Final answer
    x = 30,664.41

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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.