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Finding the Fourth Proportional to 255,214.29, 352,195.71 and 142,063.77

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Solution

The fourth proportional to 255,214.29, 352,195.71 and 142,063.77 is: 196,047.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,214.29 : 352,195.71 = 142,063.77 : x
  2. Step 2: Convert to fraction form
    255,214.29/352,195.71 = 142,063.77/x
  3. Step 3: Cross multiply
    255,214.29x = 352,195.71 × 142,063.77
  4. Step 4: Simplify right side
    255,214.29x = 50,034,248,579.45
  5. Step 5: Solve for x
    x = 50,034,248,579.45/255,214.29
  6. Step 6: Final answer
    x = 196,047.99

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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.