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Finding the Fourth Proportional to 65,065.20, 97,597.80 and 31,806.60

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Solution

The fourth proportional to 65,065.20, 97,597.80 and 31,806.60 is: 47,709.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,065.20 : 97,597.80 = 31,806.60 : x
  2. Step 2: Convert to fraction form
    65,065.20/97,597.80 = 31,806.60/x
  3. Step 3: Cross multiply
    65,065.20x = 97,597.80 × 31,806.60
  4. Step 4: Simplify right side
    65,065.20x = 3,104,254,185.48
  5. Step 5: Solve for x
    x = 3,104,254,185.48/65,065.20
  6. Step 6: Final answer
    x = 47,709.90

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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.