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Finding the Fourth Proportional to 68,842.92, 102,798.08 and 54,643.64

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Solution

The fourth proportional to 68,842.92, 102,798.08 and 54,643.64 is: 81,595.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,842.92 : 102,798.08 = 54,643.64 : x
  2. Step 2: Convert to fraction form
    68,842.92/102,798.08 = 54,643.64/x
  3. Step 3: Cross multiply
    68,842.92x = 102,798.08 × 54,643.64
  4. Step 4: Simplify right side
    68,842.92x = 5,617,261,276.21
  5. Step 5: Solve for x
    x = 5,617,261,276.21/68,842.92
  6. Step 6: Final answer
    x = 81,595.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.