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Finding the Fourth Proportional to 65,669.97, 98,495.16 and 18,280.11

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Solution

The fourth proportional to 65,669.97, 98,495.16 and 18,280.11 is: 27,417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,669.97 : 98,495.16 = 18,280.11 : x
  2. Step 2: Convert to fraction form
    65,669.97/98,495.16 = 18,280.11/x
  3. Step 3: Cross multiply
    65,669.97x = 98,495.16 × 18,280.11
  4. Step 4: Simplify right side
    65,669.97x = 1,800,502,359.27
  5. Step 5: Solve for x
    x = 1,800,502,359.27/65,669.97
  6. Step 6: Final answer
    x = 27,417.44

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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.