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Finding the Fourth Proportional to 135,322.77, 186,748.50 and 87,659.07

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Solution

The fourth proportional to 135,322.77, 186,748.50 and 87,659.07 is: 120,971.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,322.77 : 186,748.50 = 87,659.07 : x
  2. Step 2: Convert to fraction form
    135,322.77/186,748.50 = 87,659.07/x
  3. Step 3: Cross multiply
    135,322.77x = 186,748.50 × 87,659.07
  4. Step 4: Simplify right side
    135,322.77x = 16,370,199,833.90
  5. Step 5: Solve for x
    x = 16,370,199,833.90/135,322.77
  6. Step 6: Final answer
    x = 120,971.51

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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.