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Finding the Fourth Proportional to 82,383.68, 113,782.93 and 55,479.53

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Solution

The fourth proportional to 82,383.68, 113,782.93 and 55,479.53 is: 76,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,383.68 : 113,782.93 = 55,479.53 : x
  2. Step 2: Convert to fraction form
    82,383.68/113,782.93 = 55,479.53/x
  3. Step 3: Cross multiply
    82,383.68x = 113,782.93 × 55,479.53
  4. Step 4: Simplify right side
    82,383.68x = 6,312,623,624.18
  5. Step 5: Solve for x
    x = 6,312,623,624.18/82,383.68
  6. Step 6: Final answer
    x = 76,624.68

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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.