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Finding the Fourth Proportional to 114,894, 172,341 and 31,788

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Solution

The fourth proportional to 114,894, 172,341 and 31,788 is: 47,682

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,894 : 172,341 = 31,788 : x
  2. Step 2: Convert to fraction form
    114,894/172,341 = 31,788/x
  3. Step 3: Cross multiply
    114,894x = 172,341 × 31,788
  4. Step 4: Simplify right side
    114,894x = 5,478,375,708
  5. Step 5: Solve for x
    x = 5,478,375,708/114,894
  6. Step 6: Final answer
    x = 47,682

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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.