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Finding the Fourth Proportional to 255,726, 352,898.64 and 142,548.48

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Solution

The fourth proportional to 255,726, 352,898.64 and 142,548.48 is: 196,715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,726 : 352,898.64 = 142,548.48 : x
  2. Step 2: Convert to fraction form
    255,726/352,898.64 = 142,548.48/x
  3. Step 3: Cross multiply
    255,726x = 352,898.64 × 142,548.48
  4. Step 4: Simplify right side
    255,726x = 50,305,164,726.07
  5. Step 5: Solve for x
    x = 50,305,164,726.07/255,726
  6. Step 6: Final answer
    x = 196,715.10

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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.