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Finding the Fourth Proportional to 65,147.42, 97,720.85 and 42,799.14

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Solution

The fourth proportional to 65,147.42, 97,720.85 and 42,799.14 is: 64,198.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,147.42 : 97,720.85 = 42,799.14 : x
  2. Step 2: Convert to fraction form
    65,147.42/97,720.85 = 42,799.14/x
  3. Step 3: Cross multiply
    65,147.42x = 97,720.85 × 42,799.14
  4. Step 4: Simplify right side
    65,147.42x = 4,182,368,447.07
  5. Step 5: Solve for x
    x = 4,182,368,447.07/65,147.42
  6. Step 6: Final answer
    x = 64,198.53

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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.