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Finding the Fourth Proportional to 135,384.84, 186,825 and 74,951.24

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Solution

The fourth proportional to 135,384.84, 186,825 and 74,951.24 is: 103,429.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,384.84 : 186,825 = 74,951.24 : x
  2. Step 2: Convert to fraction form
    135,384.84/186,825 = 74,951.24/x
  3. Step 3: Cross multiply
    135,384.84x = 186,825 × 74,951.24
  4. Step 4: Simplify right side
    135,384.84x = 14,002,765,413.00
  5. Step 5: Solve for x
    x = 14,002,765,413.00/135,384.84
  6. Step 6: Final answer
    x = 103,429.35

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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.