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Finding the Fourth Proportional to 104,705.31, 156,998.28 and 71,465.61

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Solution

The fourth proportional to 104,705.31, 156,998.28 and 71,465.61 is: 107,157.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,705.31 : 156,998.28 = 71,465.61 : x
  2. Step 2: Convert to fraction form
    104,705.31/156,998.28 = 71,465.61/x
  3. Step 3: Cross multiply
    104,705.31x = 156,998.28 × 71,465.61
  4. Step 4: Simplify right side
    104,705.31x = 11,219,977,849.15
  5. Step 5: Solve for x
    x = 11,219,977,849.15/104,705.31
  6. Step 6: Final answer
    x = 107,157.68

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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.