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Finding the Fourth Proportional to 113,889.83, 170,713.37 and 85,722.77

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Solution

The fourth proportional to 113,889.83, 170,713.37 and 85,722.77 is: 128,492.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,889.83 : 170,713.37 = 85,722.77 : x
  2. Step 2: Convert to fraction form
    113,889.83/170,713.37 = 85,722.77/x
  3. Step 3: Cross multiply
    113,889.83x = 170,713.37 × 85,722.77
  4. Step 4: Simplify right side
    113,889.83x = 14,634,023,593.53
  5. Step 5: Solve for x
    x = 14,634,023,593.53/113,889.83
  6. Step 6: Final answer
    x = 128,492.81

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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.