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Finding the Fourth Proportional to 105,784.62, 158,672.61 and 43,453.50

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Solution

The fourth proportional to 105,784.62, 158,672.61 and 43,453.50 is: 65,178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,784.62 : 158,672.61 = 43,453.50 : x
  2. Step 2: Convert to fraction form
    105,784.62/158,672.61 = 43,453.50/x
  3. Step 3: Cross multiply
    105,784.62x = 158,672.61 × 43,453.50
  4. Step 4: Simplify right side
    105,784.62x = 6,894,880,258.64
  5. Step 5: Solve for x
    x = 6,894,880,258.64/105,784.62
  6. Step 6: Final answer
    x = 65,178.48

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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.