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Finding the Fourth Proportional to 114,984, 172,476 and 31,878

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Solution

The fourth proportional to 114,984, 172,476 and 31,878 is: 47,817

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,984 : 172,476 = 31,878 : x
  2. Step 2: Convert to fraction form
    114,984/172,476 = 31,878/x
  3. Step 3: Cross multiply
    114,984x = 172,476 × 31,878
  4. Step 4: Simplify right side
    114,984x = 5,498,189,928
  5. Step 5: Solve for x
    x = 5,498,189,928/114,984
  6. Step 6: Final answer
    x = 47,817

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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.