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Finding the Fourth Proportional to 81,656.81, 122,271.37 and 53,488.25

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Solution

The fourth proportional to 81,656.81, 122,271.37 and 53,488.25 is: 80,092.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,656.81 : 122,271.37 = 53,488.25 : x
  2. Step 2: Convert to fraction form
    81,656.81/122,271.37 = 53,488.25/x
  3. Step 3: Cross multiply
    81,656.81x = 122,271.37 × 53,488.25
  4. Step 4: Simplify right side
    81,656.81x = 6,540,081,606.40
  5. Step 5: Solve for x
    x = 6,540,081,606.40/81,656.81
  6. Step 6: Final answer
    x = 80,092.30

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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.