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Finding the Fourth Proportional to 109,912.12, 164,812.74 and 78,304.12

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Solution

The fourth proportional to 109,912.12, 164,812.74 and 78,304.12 is: 117,416.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,912.12 : 164,812.74 = 78,304.12 : x
  2. Step 2: Convert to fraction form
    109,912.12/164,812.74 = 78,304.12/x
  3. Step 3: Cross multiply
    109,912.12x = 164,812.74 × 78,304.12
  4. Step 4: Simplify right side
    109,912.12x = 12,905,516,570.49
  5. Step 5: Solve for x
    x = 12,905,516,570.49/109,912.12
  6. Step 6: Final answer
    x = 117,416.68

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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.