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Finding the Fourth Proportional to 114,987.06, 172,479.78 and 31,881.06

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Solution

The fourth proportional to 114,987.06, 172,479.78 and 31,881.06 is: 47,821.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,987.06 : 172,479.78 = 31,881.06 : x
  2. Step 2: Convert to fraction form
    114,987.06/172,479.78 = 31,881.06/x
  3. Step 3: Cross multiply
    114,987.06x = 172,479.78 × 31,881.06
  4. Step 4: Simplify right side
    114,987.06x = 5,498,838,214.97
  5. Step 5: Solve for x
    x = 5,498,838,214.97/114,987.06
  6. Step 6: Final answer
    x = 47,821.37

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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.