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Finding the Fourth Proportional to 91,566, 137,972.94 and 75,290.63

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Solution

The fourth proportional to 91,566, 137,972.94 and 75,290.63 is: 113,448.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,566 : 137,972.94 = 75,290.63 : x
  2. Step 2: Convert to fraction form
    91,566/137,972.94 = 75,290.63/x
  3. Step 3: Cross multiply
    91,566x = 137,972.94 × 75,290.63
  4. Step 4: Simplify right side
    91,566x = 10,388,068,603.35
  5. Step 5: Solve for x
    x = 10,388,068,603.35/91,566
  6. Step 6: Final answer
    x = 113,448.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.