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Finding the Fourth Proportional to 29,690.57, 40,973.06 and 16,078.76

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Solution

The fourth proportional to 29,690.57, 40,973.06 and 16,078.76 is: 22,188.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,690.57 : 40,973.06 = 16,078.76 : x
  2. Step 2: Convert to fraction form
    29,690.57/40,973.06 = 16,078.76/x
  3. Step 3: Cross multiply
    29,690.57x = 40,973.06 × 16,078.76
  4. Step 4: Simplify right side
    29,690.57x = 658,795,712.95
  5. Step 5: Solve for x
    x = 658,795,712.95/29,690.57
  6. Step 6: Final answer
    x = 22,188.72

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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.