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Finding the Fourth Proportional to 165,938, 248,931.96 and 53,580.56

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Solution

The fourth proportional to 165,938, 248,931.96 and 53,580.56 is: 80,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,938 : 248,931.96 = 53,580.56 : x
  2. Step 2: Convert to fraction form
    165,938/248,931.96 = 53,580.56/x
  3. Step 3: Cross multiply
    165,938x = 248,931.96 × 53,580.56
  4. Step 4: Simplify right side
    165,938x = 13,337,913,818.70
  5. Step 5: Solve for x
    x = 13,337,913,818.70/165,938
  6. Step 6: Final answer
    x = 80,378.90

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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.