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Finding the Fourth Proportional to 65,652.88, 90,570 and 47,740

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Solution

The fourth proportional to 65,652.88, 90,570 and 47,740 is: 65,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,652.88 : 90,570 = 47,740 : x
  2. Step 2: Convert to fraction form
    65,652.88/90,570 = 47,740/x
  3. Step 3: Cross multiply
    65,652.88x = 90,570 × 47,740
  4. Step 4: Simplify right side
    65,652.88x = 4,323,811,800
  5. Step 5: Solve for x
    x = 4,323,811,800/65,652.88
  6. Step 6: Final answer
    x = 65,858.68

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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.