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Finding the Fourth Proportional to 145,879.56, 201,369.14 and 98,160.58

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Solution

The fourth proportional to 145,879.56, 201,369.14 and 98,160.58 is: 135,498.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,879.56 : 201,369.14 = 98,160.58 : x
  2. Step 2: Convert to fraction form
    145,879.56/201,369.14 = 98,160.58/x
  3. Step 3: Cross multiply
    145,879.56x = 201,369.14 × 98,160.58
  4. Step 4: Simplify right side
    145,879.56x = 19,766,511,576.50
  5. Step 5: Solve for x
    x = 19,766,511,576.50/145,879.56
  6. Step 6: Final answer
    x = 135,498.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.