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Finding the Fourth Proportional to 118,145.16, 177,020.55 and 83,021.94

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Solution

The fourth proportional to 118,145.16, 177,020.55 and 83,021.94 is: 124,394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,145.16 : 177,020.55 = 83,021.94 : x
  2. Step 2: Convert to fraction form
    118,145.16/177,020.55 = 83,021.94/x
  3. Step 3: Cross multiply
    118,145.16x = 177,020.55 × 83,021.94
  4. Step 4: Simplify right side
    118,145.16x = 14,696,589,480.87
  5. Step 5: Solve for x
    x = 14,696,589,480.87/118,145.16
  6. Step 6: Final answer
    x = 124,394.34

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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.