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Finding the Fourth Proportional to 81,289.82, 112,184.31 and 45,477.69

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Solution

The fourth proportional to 81,289.82, 112,184.31 and 45,477.69 is: 62,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,289.82 : 112,184.31 = 45,477.69 : x
  2. Step 2: Convert to fraction form
    81,289.82/112,184.31 = 45,477.69/x
  3. Step 3: Cross multiply
    81,289.82x = 112,184.31 × 45,477.69
  4. Step 4: Simplify right side
    81,289.82x = 5,101,883,045.66
  5. Step 5: Solve for x
    x = 5,101,883,045.66/81,289.82
  6. Step 6: Final answer
    x = 62,761.65

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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.