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Finding the Fourth Proportional to 98,214.82, 147,395.60 and 66,549.80

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Solution

The fourth proportional to 98,214.82, 147,395.60 and 66,549.80 is: 99,874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,214.82 : 147,395.60 = 66,549.80 : x
  2. Step 2: Convert to fraction form
    98,214.82/147,395.60 = 66,549.80/x
  3. Step 3: Cross multiply
    98,214.82x = 147,395.60 × 66,549.80
  4. Step 4: Simplify right side
    98,214.82x = 9,809,147,700.88
  5. Step 5: Solve for x
    x = 9,809,147,700.88/98,214.82
  6. Step 6: Final answer
    x = 99,874.42

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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.