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Finding the Fourth Proportional to 105,385.68, 158,078.52 and 43,056.18

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Solution

The fourth proportional to 105,385.68, 158,078.52 and 43,056.18 is: 64,584.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,385.68 : 158,078.52 = 43,056.18 : x
  2. Step 2: Convert to fraction form
    105,385.68/158,078.52 = 43,056.18/x
  3. Step 3: Cross multiply
    105,385.68x = 158,078.52 × 43,056.18
  4. Step 4: Simplify right side
    105,385.68x = 6,806,257,211.25
  5. Step 5: Solve for x
    x = 6,806,257,211.25/105,385.68
  6. Step 6: Final answer
    x = 64,584.27

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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.