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Finding the Fourth Proportional to 81,868.68, 112,969.62 and 46,071

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Solution

The fourth proportional to 81,868.68, 112,969.62 and 46,071 is: 63,572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,868.68 : 112,969.62 = 46,071 : x
  2. Step 2: Convert to fraction form
    81,868.68/112,969.62 = 46,071/x
  3. Step 3: Cross multiply
    81,868.68x = 112,969.62 × 46,071
  4. Step 4: Simplify right side
    81,868.68x = 5,204,623,363.02
  5. Step 5: Solve for x
    x = 5,204,623,363.02/81,868.68
  6. Step 6: Final answer
    x = 63,572.83

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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.