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Finding the Fourth Proportional to 102,165, 153,263.90 and 38,982.57

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Solution

The fourth proportional to 102,165, 153,263.90 and 38,982.57 is: 58,480.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,165 : 153,263.90 = 38,982.57 : x
  2. Step 2: Convert to fraction form
    102,165/153,263.90 = 38,982.57/x
  3. Step 3: Cross multiply
    102,165x = 153,263.90 × 38,982.57
  4. Step 4: Simplify right side
    102,165x = 5,974,620,710.22
  5. Step 5: Solve for x
    x = 5,974,620,710.22/102,165
  6. Step 6: Final answer
    x = 58,480.11

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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.