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Finding the Fourth Proportional to 104,218, 156,331.32 and 30,346

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Solution

The fourth proportional to 104,218, 156,331.32 and 30,346 is: 45,520.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,218 : 156,331.32 = 30,346 : x
  2. Step 2: Convert to fraction form
    104,218/156,331.32 = 30,346/x
  3. Step 3: Cross multiply
    104,218x = 156,331.32 × 30,346
  4. Step 4: Simplify right side
    104,218x = 4,744,030,236.72
  5. Step 5: Solve for x
    x = 4,744,030,236.72/104,218
  6. Step 6: Final answer
    x = 45,520.26

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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.