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Finding the Fourth Proportional to 64,903.20, 97,343.76 and 18,145.20

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Solution

The fourth proportional to 64,903.20, 97,343.76 and 18,145.20 is: 27,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,903.20 : 97,343.76 = 18,145.20 : x
  2. Step 2: Convert to fraction form
    64,903.20/97,343.76 = 18,145.20/x
  3. Step 3: Cross multiply
    64,903.20x = 97,343.76 × 18,145.20
  4. Step 4: Simplify right side
    64,903.20x = 1,766,321,993.95
  5. Step 5: Solve for x
    x = 1,766,321,993.95/64,903.20
  6. Step 6: Final answer
    x = 27,214.71

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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.