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Finding the Fourth Proportional to 358,854.85, 538,387.54 and 106,142

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Solution

The fourth proportional to 358,854.85, 538,387.54 and 106,142 is: 159,244.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,854.85 : 538,387.54 = 106,142 : x
  2. Step 2: Convert to fraction form
    358,854.85/538,387.54 = 106,142/x
  3. Step 3: Cross multiply
    358,854.85x = 538,387.54 × 106,142
  4. Step 4: Simplify right side
    358,854.85x = 57,145,530,270.68
  5. Step 5: Solve for x
    x = 57,145,530,270.68/358,854.85
  6. Step 6: Final answer
    x = 159,244.14

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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.