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Finding the Fourth Proportional to 29,686.68, 40,948.77 and 18,196.22

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Solution

The fourth proportional to 29,686.68, 40,948.77 and 18,196.22 is: 25,099.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,686.68 : 40,948.77 = 18,196.22 : x
  2. Step 2: Convert to fraction form
    29,686.68/40,948.77 = 18,196.22/x
  3. Step 3: Cross multiply
    29,686.68x = 40,948.77 × 18,196.22
  4. Step 4: Simplify right side
    29,686.68x = 745,112,827.65
  5. Step 5: Solve for x
    x = 745,112,827.65/29,686.68
  6. Step 6: Final answer
    x = 25,099.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.