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Finding the Fourth Proportional to 68,282.42, 102,455.31 and 28,848.74

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Solution

The fourth proportional to 68,282.42, 102,455.31 and 28,848.74 is: 43,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,282.42 : 102,455.31 = 28,848.74 : x
  2. Step 2: Convert to fraction form
    68,282.42/102,455.31 = 28,848.74/x
  3. Step 3: Cross multiply
    68,282.42x = 102,455.31 × 28,848.74
  4. Step 4: Simplify right side
    68,282.42x = 2,955,706,599.81
  5. Step 5: Solve for x
    x = 2,955,706,599.81/68,282.42
  6. Step 6: Final answer
    x = 43,286.49

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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.