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Finding the Fourth Proportional to 104,762.32, 156,960.12 and 71,374

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Solution

The fourth proportional to 104,762.32, 156,960.12 and 71,374 is: 106,936.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,762.32 : 156,960.12 = 71,374 : x
  2. Step 2: Convert to fraction form
    104,762.32/156,960.12 = 71,374/x
  3. Step 3: Cross multiply
    104,762.32x = 156,960.12 × 71,374
  4. Step 4: Simplify right side
    104,762.32x = 11,202,871,604.88
  5. Step 5: Solve for x
    x = 11,202,871,604.88/104,762.32
  6. Step 6: Final answer
    x = 106,936.08

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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.