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Finding the Fourth Proportional to 118,942.31, 164,125.31 and 65,213.19

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Solution

The fourth proportional to 118,942.31, 164,125.31 and 65,213.19 is: 89,985.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,942.31 : 164,125.31 = 65,213.19 : x
  2. Step 2: Convert to fraction form
    118,942.31/164,125.31 = 65,213.19/x
  3. Step 3: Cross multiply
    118,942.31x = 164,125.31 × 65,213.19
  4. Step 4: Simplify right side
    118,942.31x = 10,703,134,698.77
  5. Step 5: Solve for x
    x = 10,703,134,698.77/118,942.31
  6. Step 6: Final answer
    x = 89,985.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.