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Finding the Fourth Proportional to 68,658.10, 103,051.95 and 42,414.10

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Solution

The fourth proportional to 68,658.10, 103,051.95 and 42,414.10 is: 63,661.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,658.10 : 103,051.95 = 42,414.10 : x
  2. Step 2: Convert to fraction form
    68,658.10/103,051.95 = 42,414.10/x
  3. Step 3: Cross multiply
    68,658.10x = 103,051.95 × 42,414.10
  4. Step 4: Simplify right side
    68,658.10x = 4,370,855,712.50
  5. Step 5: Solve for x
    x = 4,370,855,712.50/68,658.10
  6. Step 6: Final answer
    x = 63,661.18

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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.