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Finding the Fourth Proportional to 255,357.92, 352,387.68 and 142,178.24

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Solution

The fourth proportional to 255,357.92, 352,387.68 and 142,178.24 is: 196,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,357.92 : 352,387.68 = 142,178.24 : x
  2. Step 2: Convert to fraction form
    255,357.92/352,387.68 = 142,178.24/x
  3. Step 3: Cross multiply
    255,357.92x = 352,387.68 × 142,178.24
  4. Step 4: Simplify right side
    255,357.92x = 50,101,860,140.08
  5. Step 5: Solve for x
    x = 50,101,860,140.08/255,357.92
  6. Step 6: Final answer
    x = 196,202.49

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1.5x scale

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.