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Finding the Fourth Proportional to 84,043.20, 115,978.92 and 46,317.48

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Solution

The fourth proportional to 84,043.20, 115,978.92 and 46,317.48 is: 63,917.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,043.20 : 115,978.92 = 46,317.48 : x
  2. Step 2: Convert to fraction form
    84,043.20/115,978.92 = 46,317.48/x
  3. Step 3: Cross multiply
    84,043.20x = 115,978.92 × 46,317.48
  4. Step 4: Simplify right side
    84,043.20x = 5,371,851,307.52
  5. Step 5: Solve for x
    x = 5,371,851,307.52/84,043.20
  6. Step 6: Final answer
    x = 63,917.74

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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.