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Finding the Fourth Proportional to 45,346.80, 68,010.48 and 14,178

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Solution

The fourth proportional to 45,346.80, 68,010.48 and 14,178 is: 21,263.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,346.80 : 68,010.48 = 14,178 : x
  2. Step 2: Convert to fraction form
    45,346.80/68,010.48 = 14,178/x
  3. Step 3: Cross multiply
    45,346.80x = 68,010.48 × 14,178
  4. Step 4: Simplify right side
    45,346.80x = 964,252,585.44
  5. Step 5: Solve for x
    x = 964,252,585.44/45,346.80
  6. Step 6: Final answer
    x = 21,263.96

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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.