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Finding the Fourth Proportional to 87,570, 120,846.60 and 47,826

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Solution

The fourth proportional to 87,570, 120,846.60 and 47,826 is: 65,999.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,570 : 120,846.60 = 47,826 : x
  2. Step 2: Convert to fraction form
    87,570/120,846.60 = 47,826/x
  3. Step 3: Cross multiply
    87,570x = 120,846.60 × 47,826
  4. Step 4: Simplify right side
    87,570x = 5,779,609,491.60
  5. Step 5: Solve for x
    x = 5,779,609,491.60/87,570
  6. Step 6: Final answer
    x = 65,999.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.