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Finding the Fourth Proportional to 103,676.77, 142,943.16 and 67,809.97

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Solution

The fourth proportional to 103,676.77, 142,943.16 and 67,809.97 is: 93,492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,676.77 : 142,943.16 = 67,809.97 : x
  2. Step 2: Convert to fraction form
    103,676.77/142,943.16 = 67,809.97/x
  3. Step 3: Cross multiply
    103,676.77x = 142,943.16 × 67,809.97
  4. Step 4: Simplify right side
    103,676.77x = 9,692,971,391.31
  5. Step 5: Solve for x
    x = 9,692,971,391.31/103,676.77
  6. Step 6: Final answer
    x = 93,492.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.