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Finding the Fourth Proportional to 65,318.42, 97,969.80 and 20,343.02

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Solution

The fourth proportional to 65,318.42, 97,969.80 and 20,343.02 is: 30,512.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,318.42 : 97,969.80 = 20,343.02 : x
  2. Step 2: Convert to fraction form
    65,318.42/97,969.80 = 20,343.02/x
  3. Step 3: Cross multiply
    65,318.42x = 97,969.80 × 20,343.02
  4. Step 4: Simplify right side
    65,318.42x = 1,993,001,110.95
  5. Step 5: Solve for x
    x = 1,993,001,110.95/65,318.42
  6. Step 6: Final answer
    x = 30,512.08

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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.