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Finding the Fourth Proportional to 81,203.59, 121,826.40 and 25,042.46

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Solution

The fourth proportional to 81,203.59, 121,826.40 and 25,042.46 is: 37,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,203.59 : 121,826.40 = 25,042.46 : x
  2. Step 2: Convert to fraction form
    81,203.59/121,826.40 = 25,042.46/x
  3. Step 3: Cross multiply
    81,203.59x = 121,826.40 × 25,042.46
  4. Step 4: Simplify right side
    81,203.59x = 3,050,832,077.21
  5. Step 5: Solve for x
    x = 3,050,832,077.21/81,203.59
  6. Step 6: Final answer
    x = 37,570.16

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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.