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Finding the Fourth Proportional to 68,460.27, 102,646.46 and 28,506.95

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Solution

The fourth proportional to 68,460.27, 102,646.46 and 28,506.95 is: 42,742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,460.27 : 102,646.46 = 28,506.95 : x
  2. Step 2: Convert to fraction form
    68,460.27/102,646.46 = 28,506.95/x
  3. Step 3: Cross multiply
    68,460.27x = 102,646.46 × 28,506.95
  4. Step 4: Simplify right side
    68,460.27x = 2,926,137,502.90
  5. Step 5: Solve for x
    x = 2,926,137,502.90/68,460.27
  6. Step 6: Final answer
    x = 42,742.13

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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.