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Finding the Fourth Proportional to 104,741.20, 157,111.80 and 81,384.40

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Solution

The fourth proportional to 104,741.20, 157,111.80 and 81,384.40 is: 122,076.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,741.20 : 157,111.80 = 81,384.40 : x
  2. Step 2: Convert to fraction form
    104,741.20/157,111.80 = 81,384.40/x
  3. Step 3: Cross multiply
    104,741.20x = 157,111.80 × 81,384.40
  4. Step 4: Simplify right side
    104,741.20x = 12,786,449,575.92
  5. Step 5: Solve for x
    x = 12,786,449,575.92/104,741.20
  6. Step 6: Final answer
    x = 122,076.60

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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.