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Finding the Fourth Proportional to 84,042.53, 115,978.69 and 46,316.78

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Solution

The fourth proportional to 84,042.53, 115,978.69 and 46,316.78 is: 63,917.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,042.53 : 115,978.69 = 46,316.78 : x
  2. Step 2: Convert to fraction form
    84,042.53/115,978.69 = 46,316.78/x
  3. Step 3: Cross multiply
    84,042.53x = 115,978.69 × 46,316.78
  4. Step 4: Simplify right side
    84,042.53x = 5,371,759,469.42
  5. Step 5: Solve for x
    x = 5,371,759,469.42/84,042.53
  6. Step 6: Final answer
    x = 63,917.16

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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.