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Finding the Fourth Proportional to 86,781.60, 130,166.93 and 27,659.70

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Solution

The fourth proportional to 86,781.60, 130,166.93 and 27,659.70 is: 41,487.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,781.60 : 130,166.93 = 27,659.70 : x
  2. Step 2: Convert to fraction form
    86,781.60/130,166.93 = 27,659.70/x
  3. Step 3: Cross multiply
    86,781.60x = 130,166.93 × 27,659.70
  4. Step 4: Simplify right side
    86,781.60x = 3,600,378,302.87
  5. Step 5: Solve for x
    x = 3,600,378,302.87/86,781.60
  6. Step 6: Final answer
    x = 41,487.81

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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.