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Finding the Fourth Proportional to 145,461.44, 218,189.97 and 65,442.90

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Solution

The fourth proportional to 145,461.44, 218,189.97 and 65,442.90 is: 98,163.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,461.44 : 218,189.97 = 65,442.90 : x
  2. Step 2: Convert to fraction form
    145,461.44/218,189.97 = 65,442.90/x
  3. Step 3: Cross multiply
    145,461.44x = 218,189.97 × 65,442.90
  4. Step 4: Simplify right side
    145,461.44x = 14,278,982,969.55
  5. Step 5: Solve for x
    x = 14,278,982,969.55/145,461.44
  6. Step 6: Final answer
    x = 98,163.36

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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.