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Finding the Fourth Proportional to 81,142.40, 121,713.60 and 74,921.60

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Solution

The fourth proportional to 81,142.40, 121,713.60 and 74,921.60 is: 112,382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,142.40 : 121,713.60 = 74,921.60 : x
  2. Step 2: Convert to fraction form
    81,142.40/121,713.60 = 74,921.60/x
  3. Step 3: Cross multiply
    81,142.40x = 121,713.60 × 74,921.60
  4. Step 4: Simplify right side
    81,142.40x = 9,118,977,653.76
  5. Step 5: Solve for x
    x = 9,118,977,653.76/81,142.40
  6. Step 6: Final answer
    x = 112,382.40

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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.