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Finding the Fourth Proportional to 109,134.54, 163,485.14 and 84,087.72

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Solution

The fourth proportional to 109,134.54, 163,485.14 and 84,087.72 is: 125,964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,134.54 : 163,485.14 = 84,087.72 : x
  2. Step 2: Convert to fraction form
    109,134.54/163,485.14 = 84,087.72/x
  3. Step 3: Cross multiply
    109,134.54x = 163,485.14 × 84,087.72
  4. Step 4: Simplify right side
    109,134.54x = 13,747,092,256.04
  5. Step 5: Solve for x
    x = 13,747,092,256.04/109,134.54
  6. Step 6: Final answer
    x = 125,964.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.