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Finding the Fourth Proportional to 77,300.31, 115,965.04 and 29,283.29

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Solution

The fourth proportional to 77,300.31, 115,965.04 and 29,283.29 is: 43,930.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,300.31 : 115,965.04 = 29,283.29 : x
  2. Step 2: Convert to fraction form
    77,300.31/115,965.04 = 29,283.29/x
  3. Step 3: Cross multiply
    77,300.31x = 115,965.04 × 29,283.29
  4. Step 4: Simplify right side
    77,300.31x = 3,395,837,896.18
  5. Step 5: Solve for x
    x = 3,395,837,896.18/77,300.31
  6. Step 6: Final answer
    x = 43,930.46

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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.