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Finding the Fourth Proportional to 65,844.74, 98,777.37 and 21,461.20

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Solution

The fourth proportional to 65,844.74, 98,777.37 and 21,461.20 is: 32,195.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,844.74 : 98,777.37 = 21,461.20 : x
  2. Step 2: Convert to fraction form
    65,844.74/98,777.37 = 21,461.20/x
  3. Step 3: Cross multiply
    65,844.74x = 98,777.37 × 21,461.20
  4. Step 4: Simplify right side
    65,844.74x = 2,119,880,893.04
  5. Step 5: Solve for x
    x = 2,119,880,893.04/65,844.74
  6. Step 6: Final answer
    x = 32,195.14

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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.