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Finding the Fourth Proportional to 104,494.90, 156,809.55 and 57,781.30

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Solution

The fourth proportional to 104,494.90, 156,809.55 and 57,781.30 is: 86,709.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,494.90 : 156,809.55 = 57,781.30 : x
  2. Step 2: Convert to fraction form
    104,494.90/156,809.55 = 57,781.30/x
  3. Step 3: Cross multiply
    104,494.90x = 156,809.55 × 57,781.30
  4. Step 4: Simplify right side
    104,494.90x = 9,060,659,651.42
  5. Step 5: Solve for x
    x = 9,060,659,651.42/104,494.90
  6. Step 6: Final answer
    x = 86,709.11

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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.