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Finding the Fourth Proportional to 136,917.96, 205,207.32 and 77,573.76

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Solution

The fourth proportional to 136,917.96, 205,207.32 and 77,573.76 is: 116,264.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,917.96 : 205,207.32 = 77,573.76 : x
  2. Step 2: Convert to fraction form
    136,917.96/205,207.32 = 77,573.76/x
  3. Step 3: Cross multiply
    136,917.96x = 205,207.32 × 77,573.76
  4. Step 4: Simplify right side
    136,917.96x = 15,918,703,391.92
  5. Step 5: Solve for x
    x = 15,918,703,391.92/136,917.96
  6. Step 6: Final answer
    x = 116,264.54

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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.