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Finding the Fourth Proportional to 29,133.92, 40,172.92 and 19,686.08

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Solution

The fourth proportional to 29,133.92, 40,172.92 and 19,686.08 is: 27,145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,133.92 : 40,172.92 = 19,686.08 : x
  2. Step 2: Convert to fraction form
    29,133.92/40,172.92 = 19,686.08/x
  3. Step 3: Cross multiply
    29,133.92x = 40,172.92 × 19,686.08
  4. Step 4: Simplify right side
    29,133.92x = 790,847,316.95
  5. Step 5: Solve for x
    x = 790,847,316.95/29,133.92
  6. Step 6: Final answer
    x = 27,145.24

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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.