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Finding the Fourth Proportional to 47,643.73, 71,370.30 and 28,657.88

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Solution

The fourth proportional to 47,643.73, 71,370.30 and 28,657.88 is: 42,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,643.73 : 71,370.30 = 28,657.88 : x
  2. Step 2: Convert to fraction form
    47,643.73/71,370.30 = 28,657.88/x
  3. Step 3: Cross multiply
    47,643.73x = 71,370.30 × 28,657.88
  4. Step 4: Simplify right side
    47,643.73x = 2,045,321,492.96
  5. Step 5: Solve for x
    x = 2,045,321,492.96/47,643.73
  6. Step 6: Final answer
    x = 42,929.50

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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.