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Finding the Fourth Proportional to 180,507.84, 270,734.88 and 47,390.40

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Solution

The fourth proportional to 180,507.84, 270,734.88 and 47,390.40 is: 71,078.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,507.84 : 270,734.88 = 47,390.40 : x
  2. Step 2: Convert to fraction form
    180,507.84/270,734.88 = 47,390.40/x
  3. Step 3: Cross multiply
    180,507.84x = 270,734.88 × 47,390.40
  4. Step 4: Simplify right side
    180,507.84x = 12,830,234,257.15
  5. Step 5: Solve for x
    x = 12,830,234,257.15/180,507.84
  6. Step 6: Final answer
    x = 71,078.54

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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.