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Finding the Fourth Proportional to 103,165.72, 142,316.29 and 67,376.68

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Solution

The fourth proportional to 103,165.72, 142,316.29 and 67,376.68 is: 92,945.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,165.72 : 142,316.29 = 67,376.68 : x
  2. Step 2: Convert to fraction form
    103,165.72/142,316.29 = 67,376.68/x
  3. Step 3: Cross multiply
    103,165.72x = 142,316.29 × 67,376.68
  4. Step 4: Simplify right side
    103,165.72x = 9,588,798,858.55
  5. Step 5: Solve for x
    x = 9,588,798,858.55/103,165.72
  6. Step 6: Final answer
    x = 92,945.59

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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.