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Finding the Fourth Proportional to 117,990.81, 177,012.12 and 86,731.29

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Solution

The fourth proportional to 117,990.81, 177,012.12 and 86,731.29 is: 130,115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,990.81 : 177,012.12 = 86,731.29 : x
  2. Step 2: Convert to fraction form
    117,990.81/177,012.12 = 86,731.29/x
  3. Step 3: Cross multiply
    117,990.81x = 177,012.12 × 86,731.29
  4. Step 4: Simplify right side
    117,990.81x = 15,352,489,513.23
  5. Step 5: Solve for x
    x = 15,352,489,513.23/117,990.81
  6. Step 6: Final answer
    x = 130,115.98

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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.