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Finding the Fourth Proportional to 103,960, 156,009.12 and 38,296

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Solution

The fourth proportional to 103,960, 156,009.12 and 38,296 is: 57,469.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,960 : 156,009.12 = 38,296 : x
  2. Step 2: Convert to fraction form
    103,960/156,009.12 = 38,296/x
  3. Step 3: Cross multiply
    103,960x = 156,009.12 × 38,296
  4. Step 4: Simplify right side
    103,960x = 5,974,525,259.52
  5. Step 5: Solve for x
    x = 5,974,525,259.52/103,960
  6. Step 6: Final answer
    x = 57,469.46

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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.