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Finding the Fourth Proportional to 103,197.72, 142,443.10 and 67,393.30

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Solution

The fourth proportional to 103,197.72, 142,443.10 and 67,393.30 is: 93,022.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,197.72 : 142,443.10 = 67,393.30 : x
  2. Step 2: Convert to fraction form
    103,197.72/142,443.10 = 67,393.30/x
  3. Step 3: Cross multiply
    103,197.72x = 142,443.10 × 67,393.30
  4. Step 4: Simplify right side
    103,197.72x = 9,599,710,571.23
  5. Step 5: Solve for x
    x = 9,599,710,571.23/103,197.72
  6. Step 6: Final answer
    x = 93,022.51

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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.