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Finding the Fourth Proportional to 103,165.97, 142,431.17 and 67,415.81

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Solution

The fourth proportional to 103,165.97, 142,431.17 and 67,415.81 is: 93,074.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,165.97 : 142,431.17 = 67,415.81 : x
  2. Step 2: Convert to fraction form
    103,165.97/142,431.17 = 67,415.81/x
  3. Step 3: Cross multiply
    103,165.97x = 142,431.17 × 67,415.81
  4. Step 4: Simplify right side
    103,165.97x = 9,602,111,645.56
  5. Step 5: Solve for x
    x = 9,602,111,645.56/103,165.97
  6. Step 6: Final answer
    x = 93,074.41

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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.