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Finding the Fourth Proportional to 81,068.82, 111,866.46 and 47,070.66

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Solution

The fourth proportional to 81,068.82, 111,866.46 and 47,070.66 is: 64,952.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,068.82 : 111,866.46 = 47,070.66 : x
  2. Step 2: Convert to fraction form
    81,068.82/111,866.46 = 47,070.66/x
  3. Step 3: Cross multiply
    81,068.82x = 111,866.46 × 47,070.66
  4. Step 4: Simplify right side
    81,068.82x = 5,265,628,104.06
  5. Step 5: Solve for x
    x = 5,265,628,104.06/81,068.82
  6. Step 6: Final answer
    x = 64,952.57

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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.