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Finding the Fourth Proportional to 100,421.75, 138,582.02 and 55,709.75

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Solution

The fourth proportional to 100,421.75, 138,582.02 and 55,709.75 is: 76,879.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,421.75 : 138,582.02 = 55,709.75 : x
  2. Step 2: Convert to fraction form
    100,421.75/138,582.02 = 55,709.75/x
  3. Step 3: Cross multiply
    100,421.75x = 138,582.02 × 55,709.75
  4. Step 4: Simplify right side
    100,421.75x = 7,720,369,688.70
  5. Step 5: Solve for x
    x = 7,720,369,688.70/100,421.75
  6. Step 6: Final answer
    x = 76,879.46

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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.