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Finding the Fourth Proportional to 105,398.43, 158,209.02 and 103,018.65

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Solution

The fourth proportional to 105,398.43, 158,209.02 and 103,018.65 is: 154,636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,398.43 : 158,209.02 = 103,018.65 : x
  2. Step 2: Convert to fraction form
    105,398.43/158,209.02 = 103,018.65/x
  3. Step 3: Cross multiply
    105,398.43x = 158,209.02 × 103,018.65
  4. Step 4: Simplify right side
    105,398.43x = 16,298,479,658.22
  5. Step 5: Solve for x
    x = 16,298,479,658.22/105,398.43
  6. Step 6: Final answer
    x = 154,636.84

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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.