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Finding the Fourth Proportional to 102,014.10, 152,911.80 and 38,809.80

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Solution

The fourth proportional to 102,014.10, 152,911.80 and 38,809.80 is: 58,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,014.10 : 152,911.80 = 38,809.80 : x
  2. Step 2: Convert to fraction form
    102,014.10/152,911.80 = 38,809.80/x
  3. Step 3: Cross multiply
    102,014.10x = 152,911.80 × 38,809.80
  4. Step 4: Simplify right side
    102,014.10x = 5,934,476,375.64
  5. Step 5: Solve for x
    x = 5,934,476,375.64/102,014.10
  6. Step 6: Final answer
    x = 58,173.10

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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.