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Finding the Fourth Proportional to 259,885.76, 389,984.14 and 112,141.76

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Solution

The fourth proportional to 259,885.76, 389,984.14 and 112,141.76 is: 168,279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,885.76 : 389,984.14 = 112,141.76 : x
  2. Step 2: Convert to fraction form
    259,885.76/389,984.14 = 112,141.76/x
  3. Step 3: Cross multiply
    259,885.76x = 389,984.14 × 112,141.76
  4. Step 4: Simplify right side
    259,885.76x = 43,733,507,831.69
  5. Step 5: Solve for x
    x = 43,733,507,831.69/259,885.76
  6. Step 6: Final answer
    x = 168,279.74

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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.