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Finding the Fourth Proportional to 65,281.50, 97,908.51 and 31,968

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Solution

The fourth proportional to 65,281.50, 97,908.51 and 31,968 is: 47,945.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,281.50 : 97,908.51 = 31,968 : x
  2. Step 2: Convert to fraction form
    65,281.50/97,908.51 = 31,968/x
  3. Step 3: Cross multiply
    65,281.50x = 97,908.51 × 31,968
  4. Step 4: Simplify right side
    65,281.50x = 3,129,939,247.68
  5. Step 5: Solve for x
    x = 3,129,939,247.68/65,281.50
  6. Step 6: Final answer
    x = 47,945.27

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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.