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Finding the Fourth Proportional to 84,078.63, 115,962.87 and 53,866.74

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Solution

The fourth proportional to 84,078.63, 115,962.87 and 53,866.74 is: 74,294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,078.63 : 115,962.87 = 53,866.74 : x
  2. Step 2: Convert to fraction form
    84,078.63/115,962.87 = 53,866.74/x
  3. Step 3: Cross multiply
    84,078.63x = 115,962.87 × 53,866.74
  4. Step 4: Simplify right side
    84,078.63x = 6,246,541,767.94
  5. Step 5: Solve for x
    x = 6,246,541,767.94/84,078.63
  6. Step 6: Final answer
    x = 74,294.05

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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.