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Finding the Fourth Proportional to 68,345.82, 102,521.80 and 20,957.44

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Solution

The fourth proportional to 68,345.82, 102,521.80 and 20,957.44 is: 31,437.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,345.82 : 102,521.80 = 20,957.44 : x
  2. Step 2: Convert to fraction form
    68,345.82/102,521.80 = 20,957.44/x
  3. Step 3: Cross multiply
    68,345.82x = 102,521.80 × 20,957.44
  4. Step 4: Simplify right side
    68,345.82x = 2,148,594,472.19
  5. Step 5: Solve for x
    x = 2,148,594,472.19/68,345.82
  6. Step 6: Final answer
    x = 31,437.10

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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.