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Finding the Fourth Proportional to 106,866, 160,301.16 and 27,987.12

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Solution

The fourth proportional to 106,866, 160,301.16 and 27,987.12 is: 41,981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,866 : 160,301.16 = 27,987.12 : x
  2. Step 2: Convert to fraction form
    106,866/160,301.16 = 27,987.12/x
  3. Step 3: Cross multiply
    106,866x = 160,301.16 × 27,987.12
  4. Step 4: Simplify right side
    106,866x = 4,486,367,801.06
  5. Step 5: Solve for x
    x = 4,486,367,801.06/106,866
  6. Step 6: Final answer
    x = 41,981.25

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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.