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Finding the Fourth Proportional to 162,359.88, 243,429.66 and 57,165

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Solution

The fourth proportional to 162,359.88, 243,429.66 and 57,165 is: 85,708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,359.88 : 243,429.66 = 57,165 : x
  2. Step 2: Convert to fraction form
    162,359.88/243,429.66 = 57,165/x
  3. Step 3: Cross multiply
    162,359.88x = 243,429.66 × 57,165
  4. Step 4: Simplify right side
    162,359.88x = 13,915,656,513.90
  5. Step 5: Solve for x
    x = 13,915,656,513.90/162,359.88
  6. Step 6: Final answer
    x = 85,708.71

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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.