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Finding the Fourth Proportional to 104,126, 156,193.32 and 30,254

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Solution

The fourth proportional to 104,126, 156,193.32 and 30,254 is: 45,382.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,126 : 156,193.32 = 30,254 : x
  2. Step 2: Convert to fraction form
    104,126/156,193.32 = 30,254/x
  3. Step 3: Cross multiply
    104,126x = 156,193.32 × 30,254
  4. Step 4: Simplify right side
    104,126x = 4,725,472,703.28
  5. Step 5: Solve for x
    x = 4,725,472,703.28/104,126
  6. Step 6: Final answer
    x = 45,382.26

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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.