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Finding the Fourth Proportional to 255,332.25, 352,369.44 and 142,155

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Solution

The fourth proportional to 255,332.25, 352,369.44 and 142,155 is: 196,179.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,332.25 : 352,369.44 = 142,155 : x
  2. Step 2: Convert to fraction form
    255,332.25/352,369.44 = 142,155/x
  3. Step 3: Cross multiply
    255,332.25x = 352,369.44 × 142,155
  4. Step 4: Simplify right side
    255,332.25x = 50,091,077,743.20
  5. Step 5: Solve for x
    x = 50,091,077,743.20/255,332.25
  6. Step 6: Final answer
    x = 196,179.99

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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.