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Finding the Fourth Proportional to 84,013.43, 115,938.47 and 46,287.68

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Solution

The fourth proportional to 84,013.43, 115,938.47 and 46,287.68 is: 63,876.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,013.43 : 115,938.47 = 46,287.68 : x
  2. Step 2: Convert to fraction form
    84,013.43/115,938.47 = 46,287.68/x
  3. Step 3: Cross multiply
    84,013.43x = 115,938.47 × 46,287.68
  4. Step 4: Simplify right side
    84,013.43x = 5,366,522,799.05
  5. Step 5: Solve for x
    x = 5,366,522,799.05/84,013.43
  6. Step 6: Final answer
    x = 63,876.96

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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.