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Finding the Fourth Proportional to 75,421.91, 104,078.87 and 45,223.90

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Solution

The fourth proportional to 75,421.91, 104,078.87 and 45,223.90 is: 62,406.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,421.91 : 104,078.87 = 45,223.90 : x
  2. Step 2: Convert to fraction form
    75,421.91/104,078.87 = 45,223.90/x
  3. Step 3: Cross multiply
    75,421.91x = 104,078.87 × 45,223.90
  4. Step 4: Simplify right side
    75,421.91x = 4,706,852,408.99
  5. Step 5: Solve for x
    x = 4,706,852,408.99/75,421.91
  6. Step 6: Final answer
    x = 62,406.96

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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.