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Finding the Fourth Proportional to 81,821.92, 122,798.46 and 42,390.28

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Solution

The fourth proportional to 81,821.92, 122,798.46 and 42,390.28 is: 63,619.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,821.92 : 122,798.46 = 42,390.28 : x
  2. Step 2: Convert to fraction form
    81,821.92/122,798.46 = 42,390.28/x
  3. Step 3: Cross multiply
    81,821.92x = 122,798.46 × 42,390.28
  4. Step 4: Simplify right side
    81,821.92x = 5,205,461,102.97
  5. Step 5: Solve for x
    x = 5,205,461,102.97/81,821.92
  6. Step 6: Final answer
    x = 63,619.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.