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Finding the Fourth Proportional to 103,486.20, 155,107.80 and 102,378.12

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Solution

The fourth proportional to 103,486.20, 155,107.80 and 102,378.12 is: 153,446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,486.20 : 155,107.80 = 102,378.12 : x
  2. Step 2: Convert to fraction form
    103,486.20/155,107.80 = 102,378.12/x
  3. Step 3: Cross multiply
    103,486.20x = 155,107.80 × 102,378.12
  4. Step 4: Simplify right side
    103,486.20x = 15,879,644,961.34
  5. Step 5: Solve for x
    x = 15,879,644,961.34/103,486.20
  6. Step 6: Final answer
    x = 153,446.98

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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.