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Finding the Fourth Proportional to 45,708.80, 68,678.40 and 29,076.80

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Solution

The fourth proportional to 45,708.80, 68,678.40 and 29,076.80 is: 43,688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,708.80 : 68,678.40 = 29,076.80 : x
  2. Step 2: Convert to fraction form
    45,708.80/68,678.40 = 29,076.80/x
  3. Step 3: Cross multiply
    45,708.80x = 68,678.40 × 29,076.80
  4. Step 4: Simplify right side
    45,708.80x = 1,996,948,101.12
  5. Step 5: Solve for x
    x = 1,996,948,101.12/45,708.80
  6. Step 6: Final answer
    x = 43,688.48

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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.