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Finding the Fourth Proportional to 65,742.75, 98,564.90 and 21,343.01

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Solution

The fourth proportional to 65,742.75, 98,564.90 and 21,343.01 is: 31,998.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,742.75 : 98,564.90 = 21,343.01 : x
  2. Step 2: Convert to fraction form
    65,742.75/98,564.90 = 21,343.01/x
  3. Step 3: Cross multiply
    65,742.75x = 98,564.90 × 21,343.01
  4. Step 4: Simplify right side
    65,742.75x = 2,103,671,046.81
  5. Step 5: Solve for x
    x = 2,103,671,046.81/65,742.75
  6. Step 6: Final answer
    x = 31,998.53

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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.