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Finding the Fourth Proportional to 65,140.20, 97,775.10 and 31,897.80

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Solution

The fourth proportional to 65,140.20, 97,775.10 and 31,897.80 is: 47,878.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,140.20 : 97,775.10 = 31,897.80 : x
  2. Step 2: Convert to fraction form
    65,140.20/97,775.10 = 31,897.80/x
  3. Step 3: Cross multiply
    65,140.20x = 97,775.10 × 31,897.80
  4. Step 4: Simplify right side
    65,140.20x = 3,118,810,584.78
  5. Step 5: Solve for x
    x = 3,118,810,584.78/65,140.20
  6. Step 6: Final answer
    x = 47,878.43

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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.