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Finding the Fourth Proportional to 73,809.12, 101,904.68 and 56,781.96

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Solution

The fourth proportional to 73,809.12, 101,904.68 and 56,781.96 is: 78,396.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,809.12 : 101,904.68 = 56,781.96 : x
  2. Step 2: Convert to fraction form
    73,809.12/101,904.68 = 56,781.96/x
  3. Step 3: Cross multiply
    73,809.12x = 101,904.68 × 56,781.96
  4. Step 4: Simplify right side
    73,809.12x = 5,786,347,796.60
  5. Step 5: Solve for x
    x = 5,786,347,796.60/73,809.12
  6. Step 6: Final answer
    x = 78,396.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.