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Finding the Fourth Proportional to 255,295.52, 352,307.69 and 142,145

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Solution

The fourth proportional to 255,295.52, 352,307.69 and 142,145 is: 196,160.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,295.52 : 352,307.69 = 142,145 : x
  2. Step 2: Convert to fraction form
    255,295.52/352,307.69 = 142,145/x
  3. Step 3: Cross multiply
    255,295.52x = 352,307.69 × 142,145
  4. Step 4: Simplify right side
    255,295.52x = 50,078,776,595.05
  5. Step 5: Solve for x
    x = 50,078,776,595.05/255,295.52
  6. Step 6: Final answer
    x = 196,160.03

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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.