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Finding the Fourth Proportional to 47,803.68, 71,695.77 and 45,432.60

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Solution

The fourth proportional to 47,803.68, 71,695.77 and 45,432.60 is: 68,139.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,803.68 : 71,695.77 = 45,432.60 : x
  2. Step 2: Convert to fraction form
    47,803.68/71,695.77 = 45,432.60/x
  3. Step 3: Cross multiply
    47,803.68x = 71,695.77 × 45,432.60
  4. Step 4: Simplify right side
    47,803.68x = 3,257,325,240.10
  5. Step 5: Solve for x
    x = 3,257,325,240.10/47,803.68
  6. Step 6: Final answer
    x = 68,139.63

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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.