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Finding the Fourth Proportional to 81,165.78, 112,011.26 and 45,357.30

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Solution

The fourth proportional to 81,165.78, 112,011.26 and 45,357.30 is: 62,594.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,165.78 : 112,011.26 = 45,357.30 : x
  2. Step 2: Convert to fraction form
    81,165.78/112,011.26 = 45,357.30/x
  3. Step 3: Cross multiply
    81,165.78x = 112,011.26 × 45,357.30
  4. Step 4: Simplify right side
    81,165.78x = 5,080,528,096.41
  5. Step 5: Solve for x
    x = 5,080,528,096.41/81,165.78
  6. Step 6: Final answer
    x = 62,594.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.