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Finding the Fourth Proportional to 172,361.36, 258,402.32 and 77,522.10

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Solution

The fourth proportional to 172,361.36, 258,402.32 and 77,522.10 is: 116,220.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,361.36 : 258,402.32 = 77,522.10 : x
  2. Step 2: Convert to fraction form
    172,361.36/258,402.32 = 77,522.10/x
  3. Step 3: Cross multiply
    172,361.36x = 258,402.32 × 77,522.10
  4. Step 4: Simplify right side
    172,361.36x = 20,031,890,491.27
  5. Step 5: Solve for x
    x = 20,031,890,491.27/172,361.36
  6. Step 6: Final answer
    x = 116,220.31

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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.