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Finding the Fourth Proportional to 260,057.48, 390,160.94 and 108,225

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Solution

The fourth proportional to 260,057.48, 390,160.94 and 108,225 is: 162,368.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,057.48 : 390,160.94 = 108,225 : x
  2. Step 2: Convert to fraction form
    260,057.48/390,160.94 = 108,225/x
  3. Step 3: Cross multiply
    260,057.48x = 390,160.94 × 108,225
  4. Step 4: Simplify right side
    260,057.48x = 42,225,167,190.38
  5. Step 5: Solve for x
    x = 42,225,167,190.38/260,057.48
  6. Step 6: Final answer
    x = 162,368.60

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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.