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Finding the Fourth Proportional to 103,655.88, 155,451.02 and 68,781

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Solution

The fourth proportional to 103,655.88, 155,451.02 and 68,781 is: 103,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,655.88 : 155,451.02 = 68,781 : x
  2. Step 2: Convert to fraction form
    103,655.88/155,451.02 = 68,781/x
  3. Step 3: Cross multiply
    103,655.88x = 155,451.02 × 68,781
  4. Step 4: Simplify right side
    103,655.88x = 10,692,076,606.62
  5. Step 5: Solve for x
    x = 10,692,076,606.62/103,655.88
  6. Step 6: Final answer
    x = 103,149.74

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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.