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Finding the Fourth Proportional to 115,026, 172,539 and 31,920

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Solution

The fourth proportional to 115,026, 172,539 and 31,920 is: 47,880

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,026 : 172,539 = 31,920 : x
  2. Step 2: Convert to fraction form
    115,026/172,539 = 31,920/x
  3. Step 3: Cross multiply
    115,026x = 172,539 × 31,920
  4. Step 4: Simplify right side
    115,026x = 5,507,444,880
  5. Step 5: Solve for x
    x = 5,507,444,880/115,026
  6. Step 6: Final answer
    x = 47,880

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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.