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Finding the Fourth Proportional to 57,820.60, 86,730.90 and 54,364.60

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Solution

The fourth proportional to 57,820.60, 86,730.90 and 54,364.60 is: 81,546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,820.60 : 86,730.90 = 54,364.60 : x
  2. Step 2: Convert to fraction form
    57,820.60/86,730.90 = 54,364.60/x
  3. Step 3: Cross multiply
    57,820.60x = 86,730.90 × 54,364.60
  4. Step 4: Simplify right side
    57,820.60x = 4,715,090,686.14
  5. Step 5: Solve for x
    x = 4,715,090,686.14/57,820.60
  6. Step 6: Final answer
    x = 81,546.90

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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.