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Finding the Fourth Proportional to 75,177, 103,744.26 and 45,369

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Solution

The fourth proportional to 75,177, 103,744.26 and 45,369 is: 62,609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,177 : 103,744.26 = 45,369 : x
  2. Step 2: Convert to fraction form
    75,177/103,744.26 = 45,369/x
  3. Step 3: Cross multiply
    75,177x = 103,744.26 × 45,369
  4. Step 4: Simplify right side
    75,177x = 4,706,773,331.94
  5. Step 5: Solve for x
    x = 4,706,773,331.94/75,177
  6. Step 6: Final answer
    x = 62,609.22

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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.