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Finding the Fourth Proportional to 45,864.80, 68,732.40 and 28,282.40

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Solution

The fourth proportional to 45,864.80, 68,732.40 and 28,282.40 is: 42,383.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,864.80 : 68,732.40 = 28,282.40 : x
  2. Step 2: Convert to fraction form
    45,864.80/68,732.40 = 28,282.40/x
  3. Step 3: Cross multiply
    45,864.80x = 68,732.40 × 28,282.40
  4. Step 4: Simplify right side
    45,864.80x = 1,943,917,229.76
  5. Step 5: Solve for x
    x = 1,943,917,229.76/45,864.80
  6. Step 6: Final answer
    x = 42,383.64

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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.