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Finding the Fourth Proportional to 86,912.30, 130,465.65 and 81,201.80

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Solution

The fourth proportional to 86,912.30, 130,465.65 and 81,201.80 is: 121,893.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,912.30 : 130,465.65 = 81,201.80 : x
  2. Step 2: Convert to fraction form
    86,912.30/130,465.65 = 81,201.80/x
  3. Step 3: Cross multiply
    86,912.30x = 130,465.65 × 81,201.80
  4. Step 4: Simplify right side
    86,912.30x = 10,594,045,618.17
  5. Step 5: Solve for x
    x = 10,594,045,618.17/86,912.30
  6. Step 6: Final answer
    x = 121,893.51

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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.