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Finding the Fourth Proportional to 105,988.77, 158,988.62 and 27,103.68

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Solution

The fourth proportional to 105,988.77, 158,988.62 and 27,103.68 is: 40,656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,988.77 : 158,988.62 = 27,103.68 : x
  2. Step 2: Convert to fraction form
    105,988.77/158,988.62 = 27,103.68/x
  3. Step 3: Cross multiply
    105,988.77x = 158,988.62 × 27,103.68
  4. Step 4: Simplify right side
    105,988.77x = 4,309,176,747.88
  5. Step 5: Solve for x
    x = 4,309,176,747.88/105,988.77
  6. Step 6: Final answer
    x = 40,656.92

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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.