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Finding the Fourth Proportional to 81,228.40, 121,842.60 and 28,643.20

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Solution

The fourth proportional to 81,228.40, 121,842.60 and 28,643.20 is: 42,964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,228.40 : 121,842.60 = 28,643.20 : x
  2. Step 2: Convert to fraction form
    81,228.40/121,842.60 = 28,643.20/x
  3. Step 3: Cross multiply
    81,228.40x = 121,842.60 × 28,643.20
  4. Step 4: Simplify right side
    81,228.40x = 3,489,961,960.32
  5. Step 5: Solve for x
    x = 3,489,961,960.32/81,228.40
  6. Step 6: Final answer
    x = 42,964.80

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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.