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Finding the Fourth Proportional to 65,650.88, 90,567.24 and 47,738

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Solution

The fourth proportional to 65,650.88, 90,567.24 and 47,738 is: 65,855.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,650.88 : 90,567.24 = 47,738 : x
  2. Step 2: Convert to fraction form
    65,650.88/90,567.24 = 47,738/x
  3. Step 3: Cross multiply
    65,650.88x = 90,567.24 × 47,738
  4. Step 4: Simplify right side
    65,650.88x = 4,323,498,903.12
  5. Step 5: Solve for x
    x = 4,323,498,903.12/65,650.88
  6. Step 6: Final answer
    x = 65,855.92

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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.