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Finding the Fourth Proportional to 81,053.66, 121,580.12 and 21,895.40

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Solution

The fourth proportional to 81,053.66, 121,580.12 and 21,895.40 is: 32,843.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,053.66 : 121,580.12 = 21,895.40 : x
  2. Step 2: Convert to fraction form
    81,053.66/121,580.12 = 21,895.40/x
  3. Step 3: Cross multiply
    81,053.66x = 121,580.12 × 21,895.40
  4. Step 4: Simplify right side
    81,053.66x = 2,662,045,359.45
  5. Step 5: Solve for x
    x = 2,662,045,359.45/81,053.66
  6. Step 6: Final answer
    x = 32,843.00

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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.