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Finding the Fourth Proportional to 29,390, 40,558.20 and 16,142

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Solution

The fourth proportional to 29,390, 40,558.20 and 16,142 is: 22,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,390 : 40,558.20 = 16,142 : x
  2. Step 2: Convert to fraction form
    29,390/40,558.20 = 16,142/x
  3. Step 3: Cross multiply
    29,390x = 40,558.20 × 16,142
  4. Step 4: Simplify right side
    29,390x = 654,690,464.40
  5. Step 5: Solve for x
    x = 654,690,464.40/29,390
  6. Step 6: Final answer
    x = 22,275.96

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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.