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Finding the Fourth Proportional to 56,109.96, 84,146.70 and 18,659.96

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Solution

The fourth proportional to 56,109.96, 84,146.70 and 18,659.96 is: 27,983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,109.96 : 84,146.70 = 18,659.96 : x
  2. Step 2: Convert to fraction form
    56,109.96/84,146.70 = 18,659.96/x
  3. Step 3: Cross multiply
    56,109.96x = 84,146.70 × 18,659.96
  4. Step 4: Simplify right side
    56,109.96x = 1,570,174,056.13
  5. Step 5: Solve for x
    x = 1,570,174,056.13/56,109.96
  6. Step 6: Final answer
    x = 27,983.87

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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.