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Finding the Fourth Proportional to 82,855.92, 114,304.77 and 55,988.64

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Solution

The fourth proportional to 82,855.92, 114,304.77 and 55,988.64 is: 77,239.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,855.92 : 114,304.77 = 55,988.64 : x
  2. Step 2: Convert to fraction form
    82,855.92/114,304.77 = 55,988.64/x
  3. Step 3: Cross multiply
    82,855.92x = 114,304.77 × 55,988.64
  4. Step 4: Simplify right side
    82,855.92x = 6,399,768,617.81
  5. Step 5: Solve for x
    x = 6,399,768,617.81/82,855.92
  6. Step 6: Final answer
    x = 77,239.73

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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.