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Finding the Fourth Proportional to 45,678.83, 68,509.88 and 20,712.84

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Solution

The fourth proportional to 45,678.83, 68,509.88 and 20,712.84 is: 31,065.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,678.83 : 68,509.88 = 20,712.84 : x
  2. Step 2: Convert to fraction form
    45,678.83/68,509.88 = 20,712.84/x
  3. Step 3: Cross multiply
    45,678.83x = 68,509.88 × 20,712.84
  4. Step 4: Simplify right side
    45,678.83x = 1,419,034,079.30
  5. Step 5: Solve for x
    x = 1,419,034,079.30/45,678.83
  6. Step 6: Final answer
    x = 31,065.47

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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.