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Finding the Fourth Proportional to 86,155.54, 129,216.26 and 81,883.30

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Solution

The fourth proportional to 86,155.54, 129,216.26 and 81,883.30 is: 122,808.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,155.54 : 129,216.26 = 81,883.30 : x
  2. Step 2: Convert to fraction form
    86,155.54/129,216.26 = 81,883.30/x
  3. Step 3: Cross multiply
    86,155.54x = 129,216.26 × 81,883.30
  4. Step 4: Simplify right side
    86,155.54x = 10,580,653,782.46
  5. Step 5: Solve for x
    x = 10,580,653,782.46/86,155.54
  6. Step 6: Final answer
    x = 122,808.75

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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.